Advertisements
Advertisements
Question
Simplify:
(x + y)3 − (x − y)3
Simplify
Advertisements
Solution
It is known that,
a3 − b3 = (a − b)(a2 + ab + b2)
(x + y)3 − (x − y)3
(x + y)3 − (x − y)3 = {(x + y) − (x − y)}{(x + y)2 + (x + y)(x − y) + (x − y)2}
= 2y(x2 + 2xy + y2 + x2 − y2 + x2 − 2xy + y2)
= 2y (3x2 + y2)
= 2y × 3x2 + 2y × y2
= 6x2y + 2y3
shaalaa.com
Is there an error in this question or solution?
RELATED QUESTIONS
Simplify:
\[\frac{x^2 - 5x - 24}{\left( x + 3 \right)\left( x + 8 \right)} \times \frac{x^2 - 64}{\left( x - 8 \right)^2}\]
Factorise:
y3 − 27
Factorise:
27m3 − 216n3
Factorise:
8p3 −\[\frac{27}{p^3}\]
Factorise:
343a3 − 512b3
Factorise:
64x3 − 729y3
Factorise:
`16a^3 - 128/b^3`
Simplify:
(a + b)3 − a3 − b3
Simplify: (a - b)3 - (a3 - b3)
Factorise the following:
a6 – 64
