Advertisements
Advertisements
प्रश्न
Expand the following:
(3a + 1) (3a – 2) (3a + 4)
Advertisements
उत्तर
(3a + 1) (3a – 2) (3a + 4)
(x + a) (x + b) (x + c) ≡ x3 + (a + b + c) x2 + (ab + bc + ca) x + abc
(3a + 1) (3a – 2) (3a + 4) = (3a)3 + (1 – 2 + 4) (3a)2 + [1 × (– 2) + (– 2 × 4) + 4 × 1] (3a) + 1 × – 2 × 4
= 27a3 + 3(9a2) + (– 2 – 8 + 4) 3a – 8)
= 27a3 + 27a2 – 8a – 8
APPEARS IN
संबंधित प्रश्न
Simplify the following using the formula: (a − b)(a + b) = a2 − b2: 113 × 87
Find the value of x, if 14x = (47)2 − (33)2.
Find the following product: (x + 7) (x − 5)
Find the following product: \[\left( z + \frac{3}{4} \right)\left( z + \frac{4}{3} \right)\]
Evaluate the following: 34 × 36
By using identity evaluate the following:
`1 + 1/8 - 27/8`
Expand the following, using suitable identities.
`(2/3x - 3/2y)^2`
Expand the following, using suitable identities.
`((2a)/3 + b/3)((2a)/3 - b/3)`
Expand the following, using suitable identities.
(0.9p – 0.5q)2
Carry out the following division:
–121p3q3r3 ÷ (–11xy2z3)
