# Multiply the polynomials using the special product formulas. (x+5)^{2}

Multiply the polynomials using the special product formulas.
${\left(x+5\right)}^{2}$
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maul124uk
Product of ${\left(x+5\right)}^{2}$
${\left(x+5\right)}^{2}=\left(x+5\right)\left(x+5\right)$
using identities
$\left(x+a\right)\left(x+b\right)={x}^{2}+\left(a+b\right)x+ab$
$\left(x+5\right)\left(x+5\right)={x}^{2}+\left(5+5\right)x+5×5$
$={x}^{2}+10x+25$
Step 2
OR
${\left(x+5\right)}^{2}$
using identity
${\left(x+y\right)}^{2}={x}^{2}+2xy+{y}^{2}$
${\left(x+5\right)}^{2}={x}^{2}+2x×5+{\left(5\right)}^{2}$
$={x}^{2}+10x+25$
$\therefore$ Polynomial $={x}^{2}+10x+25$

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