Question

Simplify
(a+2) (a-2a+4)-(a-2) (a²+ 2a+4)​

Answer 1

Answer:

-a^2+2a+8-(a^3+2a^2+4a-2a^2-4a-8)

-a^2+2a+8-a^3+8

-(a^3+a^2+2a+16)

Hope it helps

Answer 2

Answer

$\boxed{ \fcolorbox{pink}{yellow}{ - a3 - a2 + 2a+16}}$

$\pink{ \bold{ \underline {\underline{Steps \: by \: step \: explanation :}}}}$

${ \bold{ \underline {\underline{Given \: equation:}}}}$

$(a + 2)(a - 2a + 4) - (a - 2)( {a}^{2} + 2a + 4) \\ = {a}^{2} - 2 {a}^{2} + 4a + 2a - 4a + 8 \\ - ( {a}^{3} + 2 {a}^{2} + 4a - 2 {a}^{2} - 4a - 8) \\ = - {a}^{2} + 2a + 8 - {a}^{3} + 8 \\ = - {a}^{3} - {a}^{2} + 2a+16$

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