How do you simplify ${(x + 5)}^{2}$ $(x + 5)^2$ ?

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How do you simplify ${(x + 5)}^{2}$ $(x + 5)^2$ ?

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Answer 1 · 2016-08-28T04:19:21

$(x + 5) = x^{2} + 10 x + 25$ $(x+5)=color(blue)(x^2+10x+25)$

Explanation:

${(x + 5)}^{2}$ $(x+5)^2$ is a sum of squares, ${(a + b)}^{2} = a^{2} + 2 a b + b^{2}$ $(a+b)^2=a^2+2ab+b^2$ , where $a = x$ $a=x$ , and $b = 5$ $b=5$ .

Expand.

${(x + 5)}^{2} = x^{2} + 2 (x) (5) + 5^{2}$ $(x+5)^2=x^2+2(x)(5)+5^2$

Simplify.

$(x + 5) = x^{2} + 10 x + 25$ $(x+5)=x^2+10x+25$

You can also use the FOIL method to multiply two binomials.

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${(x + 5)}^{2} = (x + 5) (x + 5)$ $(x+5)^2=(x+5)(x+5)$

$(x + 5) (x + 5) = x \cdot x + x \cdot 5 + 5 \cdot x + 5 \cdot 5$ $(x+5)(x+5)=x*x+x*5+5*x+5*5$

Simplify.

$(x + 5) (x + 5) = x^{2} + 5 x + 5 x + 25$ $(x+5)(x+5)=x^2+5x+5x+25$

Simplify.

$(x + 5) (x + 5) = x^{2} + 10 x + 25$ $(x+5)(x+5)=x^2+10x+25$

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How do you simplify ${(x + 5)}^{2}$ $(x + 5)^2$ ?

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