Question

12. Without finding the squares, evaluate each of the following:
(1) 16² – 15² (11) 221² – 2202 (in) 59² – 58²
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Answer 1

Answer:

(1).31

(2).441

(3).117

Step-by-step explanation:

(1).a^2-b^2=(a+b)(a-b)

(16+15)(16-15)

31 × 1

31

appliying same for all remaining question

Answer 2

Hi friend

$16 {}^{2} - 15 {} {}^{2}$

$(a + b)(a - b) = a {}^{2} - b {}^{2}$

$(16 + 15)(16 - 15)$

So the answer is 3

2.

$221 { }^{2} - 220 {}^{2}$

By applying the same formula,

$(221 + 220) \times (221 - 220)$

So the answer is 441

3.

$59 {}^{2} - 58 {}^{2}$

$= (59 + 58) \times (59 - 58)$

So the answer is 117

Hope it helps you

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