Question

Simplify
$93 \times 87$
by expressing it as a difference of two squares.

Answer 1

Here is your answer....

Solution :

93 × 87 = ( 90 + 3 ) ( 90 - 3 )

= 90² - 3²

= 8100 - 9 = 8091


Hope it helped ☺☺☺

Answer 2

Hey friend,
Here is the answer you were looking for:
$93 \times 87 \\ \\ we \: can \: write \: as \\ (90 + 3) \times (90 - 3) \\ \\ (90 + 3)(90 - 3) \\ \\ using \: the \: identity \\ (a + b)(a - b) = {a}^{2} - {b}^{2} \\ \\ (90 + 3)(90 - 3) \\ \\ = {(90)}^{2} - {(3)}^{2} \\ \\ = 8100 - 9 \\ \\ = 8091$

Hope this helps!!!

@Mahak24

Thanks...
☺