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: \[\frac{198 \times 198 - 102 \times 102}{96}\]
Expand the following:
(2p + 3)(2p – 4)(2p – 5)
If 2x – 3y – 4z = 0, then find 8x3 – 27y3 – 64z3
On dividing p(4p2 – 16) by 4p(p – 2), we get ______.
Multiply the following:
(3x2 + 4x – 8), (2x2 – 4x + 3)
Expand the following, using suitable identities.
`(2/3x - 3/2y)^2`
Expand the following, using suitable identities.
`(4/5p + 5/3q)^2`
Expand the following, using suitable identities.
(2x + 9)(2x – 7)
Expand the following, using suitable identities.
(x2 + y2)(x2 – y2)
Carry out the following division:
76x3yz3 ÷ 19x2y2
