Question

Verify the formula for square of binomials a=11,b=9

Answer 1

SOLUTION

TO VERIFY

The formula for square of binomials

a = 11 , b = 9

EVALUATION

Here the formula to be verified is

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

Putting a = 11 , b = 9 in LHS we get

LHS

$\sf{ = {(a + b)}^{2} }$

$\sf{ = {(11 + 9)}^{2} }$

$\sf{ = {(20)}^{2} }$

$= 20 \times 20$

$= 400$

RHS

$\sf{= {a}^{2} + 2ab + {b}^{2} }$

$\sf{= {(11)}^{2} + 2 \times 11 \times 9 + {(9)}^{2} }$

$= 121 + 198 + 81$

$= 400$

∴ LHS = RHS

Hence verified

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