How do you write $x {(x + 2)}^{2}$ $x(x+2)^2$ in standard form?

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How do you write $x {(x + 2)}^{2}$ $x(x+2)^2$ in standard form?

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Answer 1 · 2016-10-01T10:54:02

$x^{3} + 4 x^{2} + 4 x$ $x^3+4x^2+4x$

Explanation:

The first step here is to expand the bracket, before multiplying by x.

${(x + 2)}^{2} = (x + 2) (x + 2)$ $(x+2)^2=(x+2)(x+2)$

We must ensure that each term in the second bracket is multiplied by each term in the first bracket, as follows.

$x (x + 2) + 2 (x + 2)$ $color(red)(x)(x+2)color(red)(+2)(x+2)$

$= x^{2} + 2 x + 2 x + 4 = x^{2} + 4 x + 4$ $=x^2+2x+2x+4=x^2+4x+4$

Now we have to multiply this result by x.

$\Rightarrow x (x^{2} + 4 x + 4)$ $rArrx(x^2+4x+4)$

$= x^{3} + 4 x^{2} + 4 x \leftarrow in standard form$ $=x^3+4x^2+4xlarr" in standard form"$

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How do you write $x {(x + 2)}^{2}$ $x(x+2)^2$ in standard form?

1 Answer

Explanation:

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