Question

9. Evaluate using formula (a + b) ^2= a^2 + 2ab + b^2, (a - b) = a^2- 2ab + b^2
(1) 24²​
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Answer 1

Step-by-step explanation:

Using the formula (a−b)

2

=(a

2

−2ab+b

2

), evaluate;

(196)

2

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Answer

Given (196)

2

We have (a−b)

2

=(a

2

−2ab+b

2

)

(196)

2

can be written as 200−4

So here a=200 and b=4

Using the formula,

(200−4)

2

=(200

2

−2×200×4+4

2

)

On simplifying we get

(200−4)

2

=(40000−1600+16)

(196)

2

=38416