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

jamessinatraaa

## Answered question

2021-12-13

Multiply the polynomials using the special product formulas.

$(x+5)}^{2$

### Answer & Explanation

Product of $(x+5)}^{2$

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

using identities

$(x+a)(x+b)={x}^{2}+(a+b)x+ab$

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

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

Step 2

OR

$(x+5)}^{2$

using identity

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

$(x+5)}^{2}={x}^{2}+2x\times 5+{\left(5\right)}^{2$

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

$\therefore$ Polynomial $={x}^{2}+10x+25$

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