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Can 6mn be factored?
2 x 3 x m x n = 6mn
What is 2n x 3m?
Well, darling, 2n x 3m is the same as 6nm. It's like mixing peanut butter and jelly - they just go together like a match made in algebraic heaven. So, go ahead and multiply those variables like a math wizard on a mission.
What is the answer to 6mn - mn plus 6n - 14?
5mn + 6n - 14
How do you factor m squared minus 4mn minus 12n squared?
m2 - 4mn - 12n2 = m2 - 6mn + 2mn - 12n2 = m(m - 6n) + 2n(m - 6n) = (m + 2n)(m - 6n)
What is the algebraic phrase for m plus the product of 6 and n?
M+6n
How do you add and subtract polynomials?
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. ;)
3 times X?
3 times X= 3XBecause it is the same as 1X plus 1X plus 1X.The X has an 'invisible' 1 in front of it....Another example could be, What is 4 times X + 2?It would equal 4X + 2, because when doing algebra you can only add things called 'like terms' so you can only add things like 2y+7y and 4yz+2yz or 4+3.But you cannot add terms that are different, such as 2y+3z or 5+7x, they will just stay the same. So, 2y+3z=2y+3z and 5+7x=5+7xHowever, you can MULTIPLY anything, so 2y times 3z= 6yz (2 times 3=6) and 5 times 7x= 35x and 4x times 3x= 12x2, this is because you have 2 xs!So overall this is what you should know from all the above:You can multiply un-like terms! Even if the terms (eg. 2; 3x; 7y) are not the same.You cannot add or subtract un-like terms. You can only leave them as they are.When multiplying things like x or y or z remember to do your 'powers'Examples:MULTIPLYING UN-LIKE TERMS-3n times 2m= 6mn (put letters in alphabetic order) or 5y times 4x= 20xy2. ADDING/SUBTRACTING LIKE AND UN-LIKE TERMS-You can add/subtract 7z+3z/ 7z-3z, = 10z/4z.3. DOING POWERS-x times x3= x4 because there is an 'invisible' 1 next to the first x.And 3x2 times 4x3 = 12x6
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