Advertisements
Advertisements
Question
Simplify.
(a + b + c) (a + b − c)
Advertisements
Solution
(a + b + c) (a + b − c)
= a (a + b − c) + b (a + b − c) + c (a + b − c)
= a2 + ab − ac + ab + b2 − bc + ca + bc − c2
= a2 + b2 − c2 + (ab + ab) + (bc − bc) + (ca − ca)
= a2 + b2 − c2 + 2ab
APPEARS IN
RELATED QUESTIONS
Simplify.
(x2 − 5) (x + 5) + 25
Simplify.
(1.5x − 4y) (1.5x + 4y + 3) − 4.5x + 12y
Write the following square of binomial as trinomial: (x + 2)2
Write the following square of binomial as trinomial: (8a + 3b)2
Write the following square of binomial as trinomial: (2m + 1)2
Write the following square of binomial as trinomial:
\[\left( x + \frac{x^2}{2} \right)^2\]
Write the following square of binomial as trinomial: \[\left( \frac{x}{4} - \frac{y}{3} \right)\]
Write the following square of binomial as trinomial: \[\left( 3x - \frac{1}{3x} \right)^2\]
Write the following square of binomial as trinomial: (a2b − bc2)2
Write the following square of binomial as trinomial: (x2 − ay)2
