Advertisements
Advertisements
Question
Expand the following, using suitable identities.
`(4/5p + 5/3q)^2`
Sum
Solution
We have,
`(4/5p + 5/3q)^2 = (4/5p)^2 + (5/3q)^2 + 2 xx 4/5p xx 5/3q` ...[Using the identity, (a + b)2 = a2 + b2 + 2ab]
= `16/25 p^2 + 25/9 q^2 + 8/3 pq`
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
Simplify the following using the formula: (a − b)(a + b) = a2 − b2: 1.8 × 2.2
Expand the following:
(−p + 2q + 3r)2
By using identity evaluate the following:
`1 + 1/8 - 27/8`
Simplify:
(3x + 2y)2 + (3x – 2y)2
Simplify:
`(3/4x - 4/3y)^2 + 2xy`
Simplify:
(b2 – 49)(b + 7) + 343
Using suitable identities, evaluate the following.
(1005)2
Carry out the following division:
51x3y2z ÷ 17xyz
Carry out the following division:
17ab2c3 ÷ (–abc2)
Perform the following division:
(x3y3 + x2y3 – xy4 + xy) ÷ xy
