As written, this expression equals 22x + 3, which doesn't factor neatly. Make sure you copied it correctly.
You just have to use trial and error on this one to find the two factors. Use the FOIL method of multiplying to check and see if the factors add up to the original statement. (4y - 1)(5y + 2)
xy + ay + ab + bx = y(x + a) + b(a + x) = y(x + a) + b(x + a) = y(x + a) + b(x + a) = (y + b)(x + a) To check, multiply out the two brackets making sure that each pair is evaluated.
Restate the question: Factor the polynomial x2 + 7x + 10. You look for two numbers which multiply to make 10 and add to make 7. They are 5 and 2. Now put them into the two factors: (x + 5)(x + 2). Check your factors by multiplying using 'FOIL': x2 + 2x + 5x + 10 = x2 + 7x + 10. Check!
you have to check it...
Factor completely and check mentally 10a^2+20a
The expression, as given, cannot be factorised.
(3b - 1)(a - b)
(a - 2b)(c - 3d)
(2a + 3)(b - 3c)
ac + 2ad + 2bc + 4bd = a(c + 2d) + 2b(c + 2d) = (a + 2b)(c + 2d) Now expand to confirm your answer: c(a + 2b) + 2d(a + 2b) = ac + 2bc + 2ad + 4bd ≡ ac + 2ad + 2bc + 4bd
ac-5ad-5bc+25bd a(c-5d)-5b(c-5d) (a-5b)(c-5d) FOIL First (a*c=ac) Outside (a*-5d=-5ad) Inside (-5b*c=-5bc) Last (-5b*-5d=25bd) ac-5ad-5bc+25bd
monomial
Divide the product by one of the multiplicands. The answer should be the other multiplicand.
You make a check by they're name, then go to delete.
When multiplying exponential factors the exponents are added if bases are the same. 5^3 * 5^4 = 5^7 check it out on your calculator.
You just have to use trial and error on this one to find the two factors. Use the FOIL method of multiplying to check and see if the factors add up to the original statement. (4y - 1)(5y + 2)
You can use the formula for the difference of two squares in this case. - In general, for factoring, check whether the expression to be factored corresponds to one of several common forms - as in this case.