Question

evaluate (91)² by using identity​

Answer 1

Answer:

Step-by-step explanation:

(91)^2 =(90+1)^2

(A+B) ^2=A^2+B^2+2AB

(90+1)^2 =(90)^2 +(1)^2+2*90*1

(91)^2 =8100+1+180

(91)^2 =8281

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Answer 2

(91)² = 8281

Given :

The expression (91)²

To find :

The value using identity

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is (91)²

Step 2 of 2 :

Find the value of the expression

We use the identity (a + b)² = a² + 2ab + b²

Thus we get

$\displaystyle \sf{ {(91)}^{2} }$

$\displaystyle \sf{ = {(90 + 1)}^{2} }$

$\displaystyle \sf{ = {(90)}^{2} + 2 \times 90 \times 1 + {(1)}^{2} }$

$\displaystyle \sf{ = 8100 + 180 + 1 }$

$\displaystyle \sf{ = 8281 }$

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