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: \[\frac{198 \times 198 - 102 \times 102}{96}\]
Find the following product: (2x2 − 3) (2x2 + 5)
Expand the following:
(2p + 3) (2p – 4) (2p – 5)
Simplify:
`(7/9 a + 9/7 b)^2 - ab`
Simplify:
(s2t + tq2)2 – (2stq)2
Expand the following, using suitable identities.
`(4/5a + 5/4b)^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.
`((2a)/3 + b/3)((2a)/3 - b/3)`
Perform the following division:
(– qrxy + pryz – rxyz) ÷ (– xyz)
