Advertisements
Advertisements
Question
Factorise:
343a3 − 512b3
Sum
Advertisements
Solution
It is known that,
a3 − b3 = (a − b)(a2 + ab + b2)
343a3 − 512b3
= (7a)3 − (8b)3
= (7a − 8b) {(7a)2 + (7a) × (8b) + (8b)2}
= (7a − 8b)(49a2 + 56ab + 64b2)
shaalaa.com
Is there an error in this question or solution?
RELATED QUESTIONS
Simplify:
\[\frac{8 x^3 - 27 y^3}{4 x^2 - 9 y^2}\]
Simplify:
\[\frac{a^2 + 10a + 21}{a^2 + 6a - 7} \times \frac{a^2 - 1}{a + 3}\]
Simplify:
\[\frac{4 x^2 - 11x + 6}{16 x^2 - 9}\]
Simplify:
\[\frac{a^3 - 27}{5 a^2 - 16a + 3} \div \frac{a^2 + 3a + 9}{25 a^2 - 1}\]
Factorise:
x3 − 64y3
Factorise:
125y3 − 1
Factorise:
8p3 −\[\frac{27}{p^3}\]
Factorise: `a^3 - 1/(a^3)`
Simplify: (2x + 3y)3 - (2x - 3y)3
Factorise the following:
a6 – 64
