Advertisements
Advertisements
Question
Expand the following:
(3a + 1) (3a – 2) (3a + 4)
Advertisements
Solution
(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
RELATED QUESTIONS
Show that (3x + 7)2 − 84x = (3x − 7)2
Simplify the following using the formula: (a − b)(a + b) = a2 − b2: (82)2 − (18)2
Find the value of x, if 14x = (47)2 − (33)2.
Find the following product: \[\left( x + \frac{1}{5} \right)(x + 5)\]
Evaluate the following: 35 × 37
Expand the following:
(−p + 2q + 3r)2
On dividing 57p2qr by 114pq, we get ______.
Expand the following, using suitable identities.
`((2x)/3 - 2/3)((2x)/3 + (2a)/3)`
Carry out the following division:
–121p3q3r3 ÷ (–11xy2z3)
Perform the following division:
(x3y3 + x2y3 – xy4 + xy) ÷ xy
