Advertisements
Advertisements
Question
Simplify:
(2.5m + 1.5q)2 + (2.5m – 1.5q)2
Advertisements
Solution
We have,
(2.5m + 1.5q)2 + (2.5m – 1.5q)2 = (2.5m)2 + (1.5q)2 + 2 × 2.5m × 1.5q + (2.5m)2 + (1.5q)2 – 2 × (2.5m) × (1.5q) ...[Using the identities, (a + b)2 = a2 + b2 + 2ab and (a – b)2 = a2 + b2 – 2ab]
= 6.25m2 + 2.25q2 + 6.25m2 + 2.25q2
= (6.25 + 6.25)m2 + (2.25 + 2.25)q2
= 12.5m2 + 4.5q2
APPEARS IN
RELATED QUESTIONS
Show that (3x + 7)2 − 84x = (3x − 7)2
Simplify the following using the formula: (a − b)(a + b) = a2 − b2: (467)2 − (33)2
Find the following product: (x − 11) (x + 4)
Find the following product: (y2 − 4) (y2 − 3)
Using algebraic identity, find the coefficients of x2, x and constant term without actual expansion
(2x + 3)(2x – 5)(2x – 6)
Simplify:
`(7/9 a + 9/7 b)^2 - ab`
Simplify:
(4.5a + 1.5b)2 + (4.5b + 1.5a)2
Expand the following, using suitable identities.
`(4/5p + 5/3q)^2`
Carry out the following division:
76x3yz3 ÷ 19x2y2
Perform the following division:
(– qrxy + pryz – rxyz) ÷ (– xyz)
