Factorization question Gr. 10 please help!!!!!?

👨🏻‍🏫 學術台數學

[匿名]

2008-07-28 4:49 pm

the question is
2xsquared(x+1)squared - 12x(x+1)

I am getting confused please help, show steps not answer. I want to learn/understand this!!!

更新1:

the question just says factor. this is factorization 4.

回答 (3)

[匿名]

2008-07-28 4:57 pm

✔ 最佳答案

(x+1)[2x^2(x+1) -12x]

(x+1)[2x^3 + 2x^2 -12x]

2x(x+1)[x^2 + x - 6]

2x(x+1)(x + 3)(x - 2)

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An ESL Learner

2008-07-28 11:59 pm

2x^2(x + 1)^2 - 12x(x + 1)
= 2x^2(x + 1)(x + 1) - 12x^2 - 12x
= 2x^2(x^2 + x + x + 1) - 12x^2 - 12x
= 2x^2(x^2 + 2x + 1) - 12x^2 - 12x
= 2x^4 + 4x^3 + 2x^2 - 12x^2 - 12x
= 2x^4 + 4x^3 - 10x^2 - 12x
= 2(x^4 + 2x^3 - 5x^2 - 6x)
= 2x(x^3 + 2x^2 - 5x - 6)
= 2x(x^2 + 4x + 3)(x - 2)
= 2x(x + 3)(x + 1)(x - 2)

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cidyah

2008-07-28 11:55 pm

2x^2(x+1)^2-12x(x+1)
2x(x+1) [ x(x+1)-6]
=2x(x+1)[x^2+x-6]
2x(x+1)(x+3)(x-2)

Note: x^2+x-6
x^2+3x-2x-6
x(x+3)-2(x+3)
(x+3)(x-2)

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