Advertisements
Advertisements
प्रश्न
Simplify:
(2.5m + 1.5q)2 + (2.5m – 1.5q)2
Advertisements
उत्तर
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
संबंधित प्रश्न
Simplify the following using the identities: 178 × 178 − 22 × 22
Find the following product: (x + 7) (x − 5)
Find the following product: (x − 3) ( x − 2)
Expand the following:
(2x + 3y + 4z)2
Expand the following:
(−p + 2q + 3r)2
Expand the following:
(2p + 3) (2p – 4) (2p – 5)
Using algebraic identity, find the coefficients of x2, x and constant term without actual expansion
(2x + 3)(2x – 5)(2x – 6)
Evaluate the following by using identities:
10013
If 2x – 3y – 4z = 0, then find 8x3 – 27y3 – 64z3
Expand the following, using suitable identities.
(x2 + y2)(x2 – y2)
