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Mathematics 9 Online
OpenStudy (anonymous):

expand 2x(x-8)^2

OpenStudy (shamil98):

\[\huge 2x(x-8)(x-8)\]

OpenStudy (shamil98):

multiply (x-8)(x-8) first then multiply the product by 2x

OpenStudy (anonymous):

What would I do in this instance then? (x+2)(x+7)(x-2)

OpenStudy (shamil98):

well it's the same thing you don't have to do in any specific order, you can multiply and add in any order and you'll get the same result

OpenStudy (anonymous):

Here's what I got... I don't think it's right at all. \[x ^{3}+7x ^{2}-10x-42\]

OpenStudy (anonymous):

is that right?

hero (hero):

(x+2)(x+7)(x-2) = (x + 2)(x - 2)(x + 7) = x^2 - 4(x + 7) = x^2(x + 7) - 4(x + 7) = x^3 + 7x^2 - 4x - 28

OpenStudy (anonymous):

oh ok! Thank you very much!

hero (hero):

Keep in mind difference of squares \((a + b)(a - b) = a^2 - b^2\) And distributive property: \(a(b + c) = ab + ac\)

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