Advertisements
Advertisements
Question
Expand the following, using suitable identities.
`((2a)/3 + b/3)((2a)/3 - b/3)`
Sum
Advertisements
Solution
We have,
`((2a)/3 + b/3)((2a)/3 - b/3) = ((2a)/3)^2 - (b/3)^2` ...[Using the identity, (a + b)(a – b) = a2 – b2]
= `4/9a^2 - 1/9b^2`
shaalaa.com
Is there an error in this question or solution?
Chapter 7: Algebraic Expression, Identities and Factorisation - Exercise [Page 232]
APPEARS IN
RELATED QUESTIONS
Show that (9p - 5q)2 + 180pq = (9p + 5q)2
Find the following product: (x + 4) (x + 7)
Find the following product: \[\left( z + \frac{3}{4} \right)\left( z + \frac{4}{3} \right)\]
Find the following product: \[\left( y^2 + \frac{5}{7} \right)\left( y^2 - \frac{14}{5} \right)\]
Evaluate the following: 35 × 37
2p is the factor of 8pq
Simplify:
`(7/9 a + 9/7 b)^2 - ab`
Simplify:
(ab – c)2 + 2abc
Expand the following, using suitable identities.
`(4/5a + 5/4b)^2`
Expand the following, using suitable identities.
(2x – 5y)(2x – 5y)
