Question

Factorize each of the following algebraic expression:
a² + 2ab + b² − c²

Answer 1

\[a^2 + 2ab + b^2 - c^2 \]

\[ = ( a^2 + 2ab + b^2 ) - c^2 \]

\[ = ( a^2 + 2 \times a \times b + b^2 ) - c^2 \]

\[ = (a + b )^2 - c^2 \]

\[ = [(a + b) - c][(a + b) + c]\]

\[ = (a + b - c)(a + b + c)\]