Factoring Polynomials
1.3xy^2 - 27x^3
2.180x^2y- 108xy^2 - 75x^3
3.a^2 - b^2 + ac - bc
4. 8a^3 + 4a^2b - 2ab^2 - b^3
^ means squared.
Thanks in advanced!!!
2006-12-14 07:20:17 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
1. 3x(y^2-9x^2)
= 3x(y-3x)(y+3x)
2. -3x(25x^2 - 60xy + 36y^2)
= -3x(5x-6y)^2
3. (a+b)(a-b) + c(a-b)
= (a-b)(a+b+c)
4. 4a^2(2a+b)-b^2(2a+b)
= (2a-b)(2a+b)^2
2006-12-14 07:31:58 · answer #1 · answered by Vu 2 · 0⤊ 0⤋
What you want to do is look at what factors are shared in all of the terms of the expression. For example, both terms in the first problem have a factor of 3x. Pulling this factor out gives (3x)(y^2 - 9x^2).
2006-12-14 15:23:27 · answer #2 · answered by Lo 2 · 0⤊ 0⤋
1) 3xy² - 27x³
3x(y² - 9x²) = 3x(y - 3x)(y + 3x)
2) 180x²y - 108xy² - 75x³
-3x(36y² - 60xy + 25x²) = -3x(6y - 5x)(6y - 5x)
3) a² - b² + ac - bc
(a - b)(a+b) + c(a - b)
4) 8a³ + 4a²b - 2ab² - b³
4a²(2a + b) - b²(2a - b) = [(4a² - b²)(2a + b)(2a - b)]
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2006-12-14 15:54:49 · answer #3 · answered by aeiou 7 · 0⤊ 0⤋
Let me do the first one for you.
3x(y^2-9x^2)=3x(y-3x)(y+3x)
try to learn the identities and factoring
2006-12-14 15:24:10 · answer #4 · answered by iyiogrenci 6 · 1⤊ 0⤋