Using the distributive property of multiplication over addition, x*[x - x] = x*[x + (-x)] = x*x + x*(-x)LHS = x*0 = 0RHS = x^2 + x*(-x)Therefore x*(-x) = -x^2 and, by commutativity, -x*x = -x^2Next-x*[x - x] = -x*[x + (-x)] = -x*x + -x*(-x)LHS = -x*0 = 0RHS = -x^2 + -x*(-x)Therefore (RHS) -x times -x = +x^2 (LHS).
2 x 360 3 x 240 4 x 180 5 x 144 6 x 120 8 x 90 9 x 80 10 x 72 12 x 60 15 x 48 16 x 45 18 x 40 20 x 36 24 x 30 2 x 2 x 180 2 x 3 x 120 2 x 5 x 72 3 x 3 x 80 3 x 5 x 48 2 x 2 x 2 x 90 2 x 2 x 3 x 60 2 x 2 x 5 x 36 2 x 3 x 5 x 24 3 x 3 x 5 x 15 2 x 3 x 3 x 40 2 x 2 x 2 x 2 x 45 2 x 2 x 2 x 3 x 30 2 x 2 x 2 x 5 x 18 2 x 2 x 3 x 3 x 20 2 x 2 x 3 x 5 x 12 2 x 3 x 3 x 5 x 8 2 x 2 x 2 x 2 x 3 x 15 2 x 2 x 2 x 2 x 5 x 9 2 x 2 x 3 x 3 x 4 x 5 2 x 2 x 2 x 2 x 3 x 3 x 5
2 x 360 3 x 240 4 x 180 5 x 144 6 x 120 8 x 90 9 x 80 10 x 72 12 x 60 15 x 48 16 x 45 18 x 40 20 x 36 24 x 30 2 x 2 x 180 2 x 3 x 120 2 x 5 x 72 3 x 3 x 80 3 x 5 x 48 2 x 2 x 2 x 90 2 x 2 x 3 x 60 2 x 2 x 5 x 36 2 x 3 x 5 x 24 3 x 3 x 5 x 15 2 x 3 x 3 x 40 2 x 2 x 2 x 2 x 45 2 x 2 x 2 x 3 x 30 2 x 2 x 2 x 5 x 18 2 x 2 x 3 x 3 x 20 2 x 2 x 3 x 5 x 12 2 x 3 x 3 x 5 x 8 2 x 2 x 2 x 2 x 3 x 15 2 x 2 x 2 x 2 x 5 x 9 2 x 2 x 3 x 3 x 4 x 5 2 x 2 x 2 x 2 x 3 x 3 x 5
180 x 2 120 x 3 90 x 4 72 x 5 60 x 6 45 x 8 40 x 9 36 x 10 30 x 12 24 x 15 20 x 18 2 x 2 x 90 2 x 3 x 60 3 x 3 x 40 2 x 5 x 36 2 x 6 x 30 3 x 5 x 24 3 x 6 x 20 4 x 5 x 18 2 x 9 x 20 2 x 10 x 18 4 x 6 x 15 2 x 2 x 2 x 45 2 x 2 x 3 x 30 2 x 3 x 3 x 20 2 x 3 x 5 x 12 2 x 2 x 6 x 15 3 x 4 x 5 x 6 2 x 3 x 6 x 10 2 x 2 x 5 x 18 2 x 2 x 9 x 10 2 x 3 x 4 x 15 2 x 2 x 2 x 3 x 3 x 5 There are more...
Put two in each row. X X X X X X X X X X
Adding and subtracting Polynomials can be simple or difficult, considering your math skills and practices. When you add polynomials, you may first start out by lining them up. First, I'll go over some adding problems.Adding Example:(2ms2+3m2s-4)+(1ms2-10m2s+12)I always start by lining up the two terms beneath eachother, but weather you decide to do it horizonally or vertically is your own perogitive. I, however, will demonstate both.Horizonal Finish:You simply add your like terms and there, wallah'! You have an answer!2ms2+3m2s-4 + 1ms2-10m2s+123ms2-7m2s+8Vertical Finish:Just put your second term below your first term and add the like terms. Use the symbol (- or +) to find the integer of the number.(2ms2 +3m2s -4)+(1ms2-10m2s+12)_________________3ms2 -7m2s +8Subtracting Example:(4m2n-3mn-4m) - (-8m2n-6mn+3)The only way to subtract properly is in a horizonal term, as show in the first section of adding. The subtracing is far, far different from the adding portion, though, sharing little similarities. I'll run you through all the steps of subtracting polynomials.First off, I must remind you, it is only the secondterm where you add the opposite. (Meaning you change all the signs- Ex: -4x2+2-8 ----> 4x2-2+8) The first term remains the same.(4m2n-3mn-4m) - (-8m2n-6mn+3)The first remains the same, add the opposite on the second term.(4m2n-3mn-4m) + (+8m2n+6mn-3)Now you follow the last two steps of adding polynomials (See Above) and finish it either vertically or horizonally.Finishing Subtraction Horizonally:(4m2n-3mn-4m) + (+8m2n+6mn-3)Simply add your like terms and you're done.12m2n+3mn-4m-3Finishing Subtraction Vertically:(4m2n-3mn-4m) + (+8m2n+6mn-3)Line your second term up below your first and add the like terms into one. (- means no term lines up.)(4m2n -3mn -4m - )+ (+8m2n +6mn - -3)______________________12m2n +3mn -4m -3And you're all done. Thank you and have a blessed, math filled day. ;)
The GCF of 3mn, 9mn, and 12mn is 3mn.
The GCF is 3mn.
2x + 3mn - 33n + 22x = 24x + 3m(n - 11)
(CH3COO)3Mn
The GCF is 3.
I'm a girl and i would say 1mn-3mn
It is certainly not an equation since there is no equality sign in evidence anywhere. It could be non-linear.
Suppose x and y are any two elements of the set.Then x = 3m + 1 and y = 3n + 1 for some integers m and n. Then x*y = (3m + 1)*(3n + 1) = 9mn + 3m + 3n + 1 = 3*(3mn + m + n) + 1. Since m and n are integers, mn+ m + n is also an integer = p, say. Then x*y = 3p + 1. That is the set is closed under multiplication.
They just can, it might be magical... Wait, maybe its the babies that are magical...!Cool :)I hope I answered your question!!x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x
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It depends on how its arranged. If its arranged like ......................... You only need one line. ......................... But if its like x x x x x x x x x x x x x x x x x x x x x x x x x You can use 9 lines. x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x