Advertisements
Advertisements
प्रश्न
Expand the following:
(2p + 3) (2p – 4) (2p – 5)
Advertisements
उत्तर
(2p + 3) (2p – 4) (2p – 5)
(x + a)(x + b)(x + c) ≡ x3 + (a + b + c) x2 + (ab + ba + ca) x + abc
(2p + 3)(2p – 4)(2p – 5) = (2p)3 + (3 – 4 – 5) (2p)2 + [(3 × – 4)2 + (– 4 × – 5) + (– 5 × 3)] 2p + 3 × – 4 × – 5
= 8p3 + (– 6) (4p2) + [–12 + 20 + (–15)] 2p + 60
= 8p3 – 24p2 + (–7)2p + 60
(2p + 3)(2p – 4)(2p – 5)
= 8p3 – 24p2 – 14p + 60
APPEARS IN
संबंधित प्रश्न
Simplify the following using the formula: (a − b)(a + b) = a2 − b2: 197 × 203
Simplify the following using the identities: 1.73 × 1.73 − 0.27 × 0.27
Find the following product: (3x + 5) (3x + 11)
Find the following product: (z2 + 2) (z2 − 3)
Find the following product: \[\left( y^2 + \frac{5}{7} \right)\left( y^2 - \frac{14}{5} \right)\]
Evaluate the following: 109 × 107
Simplify:
(1.5p + 1.2q)2 – (1.5p – 1.2q)2
Expand the following, using suitable identities.
`(2/3x - 3/2y)^2`
Using suitable identities, evaluate the following.
52 × 53
Carry out the following division:
76x3yz3 ÷ 19x2y2
