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.
(t + s2) (t2 − s)
Simplify.
(a + b) (c − d) + (a − b) (c + d) + 2 (ac + bd)
Simplify.
(x + y) (x2 − xy + y2)
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: \[\left( \frac{3a}{2} - \frac{5b}{4} \right)^2\]
Write the following square of binomial as trinomial: (x2 − ay)2
Multiply the following:
–7st, –1, –13st2
Multiply the following:
`- 100/9 rs; 3/4 r^3s^2`
Multiply the following:
`3/2 p^2 + 2/3 q^2, (2p^2 - 3q^2)`
