Squares

Algebra Level 1

Simplify a 2 − b 2 a + b \dfrac{a^2-b^2}{a+b} . Note: a + b ≠ 0 a+b\neq0 .

a 2 a^2 a − b a-b Cannot simplify b 2 b^2 a + b a+b

Terry Yu by Terry Yu , 17, USA

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2 solutions

a 2 − b 2 a + b = ( a − b ) ( a + b ) a + b = a − b \large\dfrac{a^2-b^2}{a+b}=\dfrac{(a-b)(a+b)}{a+b}=a-b

3 Helpful 0 Interesting 0 Brilliant 0 Confused
Terry Yu
May 11, 2017

a 2 − b 2 a + b = ( a + b ) ( a − b ) ( a + b ) = a − b \large\dfrac{a^2-b^2}{a+b}=\dfrac{(a+b)(a-b)}{(a+b)}=a-b .

2 Helpful 0 Interesting 0 Brilliant 0 Confused

The answer is true provided a + b ≠ 0 a + b \neq 0 .

Tapas Mazumdar - 4 years ago

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