State whether True or False.
Factorization of $a^{2} + 2 a b + b^{2} - c^{2}$ is $(a + b + c) (a + b - c)$

True

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

False

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A True
$a^{2} + 2 a b + b^{2} - c^{2} = a^{2} + a b + a c + b^{2} - c^{2} + a b - a c = a (a + b + c) + (b - c) (b + c + a) = (a + b + c) (a + b - c)$

Suggest Corrections

Similar questions

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

(a + b - c) (a - b + c)

a^{2} - a b (1 - b) - b^{3}

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

(a - b + c)^{2}

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

(a + b - c)^{2}

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

12 (a + b)^{2} - (a + b) - 35

(4 a + 4 b - 7) (3 a + 3 b + 5)

Join BYJU'S Learning Program