How do you multiply $(5 + x) (2 x + 10)$ $(5 + x)(2x + 10)$ ?

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How do you multiply $(5 + x) (2 x + 10)$ $(5 + x)(2x + 10)$ ?

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Answer 1 · 2018-04-16T07:44:05

$x^{2} + 10 x + 25$ $x^2 + 10x + 25$

Explanation:

$(5 + x) (2 x + 10)$ $(5 + x)(2x + 10)$
$= 10 x + 50 + 2 x^{2} + 10 x$ $= 10x + 50 + 2x^2 + 10x$
$= 2 x^{2} + 10 x + 10 x + 50$ $= 2x^2 + 10x + 10x + 50$
$= 2 x^{2} + 20 x + 50$ $= 2x^2 + 20x + 50$
Divide by 2 to get the simplest form:
$= x^{2} + 10 x + 25$ $= x^2 + 10x + 25$

Answer 2 · 2018-04-16T07:44:38

$2 x^{2} + 20 x + 50$ $2x^2+20x+50$

Explanation:

$Each term in the second bracket is multiplied by each$ $"Each term in the second bracket is multiplied by each "$
$term in the first bracket$ $"term in the first bracket"$

$\Rightarrow (5 + x) (2 x + 10)$ $rArr(color(red)(5+x))(2x+10)$

$= 5 (2 x + 10) + x (2 x + 10)$ $=color(red)(5)(2x+10)color(red)(+x)(2x+10)$

$= (5 \times 2 x) + (5 \times 10) + (x \times 2 x) + (x \times 10)$ $=(color(red)(5)xx2x)+(color(red)(5)xx10)+(color(red)(x)xx2x)+(color(red)(x)xx10)$

$= 10 x + 50 + 2 x^{2} + 10 x$ $=color(blue)(10x)color(magenta)(+50)+2x^2color(blue)(+10x)$

$collect like terms$ $"collect like terms"$

$= 2 x^{2} + 20 x + 50 \leftarrow in standard form$ $=2x^2+20x+50larrcolor(red)"in standard form"$

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How do you multiply $(5 + x) (2 x + 10)$ $(5 + x)(2x + 10)$ ?

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How do you multiply $(5 + x) (2 x + 10)$ $(5 + x)(2x + 10)$ ?