Question

Find the value of:142^2-42^2​

Answer 1

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Let

$142 {}^{2} = (100 + 42) {}^{2}$

$= 100 {}^{2} + 42 {}^{2} + (2 \times 100 \times 42)$

$= 100 {}^{2} + 42 {}^{2} + 8400$

add this to

$- 42 {}^{2}$

we get

$100 {}^{2} + 42 {}^{2} + 8400 - 42 {}^{2}$

$= 10000 + 8400$

$= 18400$