Advertisements
Advertisements
Question
Simplify:
(1.5p + 1.2q)2 – (1.5p – 1.2q)2
Advertisements
Solution
We have,
(1.5p + 1.2q)2 – (1.5p – 1.2q)2 = [(1.5p + 1.2q) + (1.5p – 1.2q)][(1.5p + 1.2q) – (1.5p – 1.2q)] ...[Using the identity, a2 – b2 = (a + b)(a – b)]
= [(1.5p + 1.5p) + (1.2q – 1.2q)][(1.5p – 1.5p) + (1.2q + 1.2q)]
= 3p × 2.4q
= 7.2pq
APPEARS IN
RELATED QUESTIONS
Show that (9p - 5q)2 + 180pq = (9p + 5q)2
Simplify the following using the formula: (a − b)(a + b) = a2 − b2: (79)2 − (69)2
Find the value of x, if 5x = (50)2 − (40)2.
Find the following product: (x − 3) ( x − 2)
Find the following product: (y2 − 4) (y2 − 3)
Evaluate the following: 109 × 107
Using algebraic identity, find the coefficients of x2, x and constant term without actual expansion
(2x + 3)(2x – 5)(2x – 6)
Simplify:
(b2 – 49)(b + 7) + 343
Expand the following, using suitable identities.
`((4x)/5 + y/4)((4x)/5 + (3y)/4)`
Using suitable identities, evaluate the following.
105 × 95
