We have, #10; #10; a^2 ( #10;b c )^2 #10; #10;Since, x^2 y^2=( #10;x+y )( x y ) #10; #10;Thus, #10; #10; #10;⇒[ a ( b c ) ][ ...

160

You visited us 160 times! Enjoying our articles? Unlock Full Access!

(a+b)(a-b) Expansion and Visualisation

Factorise: ...

Question

Factorise: $a^{2} - (b - c)^{2}$

Open in App

Solution

We have,

$a^{2} - {(b - c)}^{2}$

Since, $x^{2} - y^{2} = (x + y) (x - y)$

Thus,

$\Rightarrow [a - (b - c)] [a + (b - c)]$

$\Rightarrow (a - b + c) (a + b - c)$

Hence, this is the answer.

Suggest Corrections

Similar questions

Factorise $a^{2} - 81 (b - c)^{2}$

a^{2} - 2 a b + b^{2} - c^{2}

b^{2} + c^{2} + 2 b c - a^{2}

a^{2} - b^{2} - c^{2} + 2 b c

Factorise:

$2 (a b + c d) - a^{2} - b^{2} + c^{2} + d^{2}$

Join BYJU'S Learning Program