Advertisements
Advertisements
Question
Expand the following:
(3a – 5b – c)2
Solution
(3a – 5b – c)2
= (3a)2 + (–5b)2 + (–c)2 + 2(3a)(–5b) + 2(–5b)(–c) + 2(–c)(3a) ...[Using identity, (a + b + c)2 – a2 + b2 + c2 + 2ab + 2bc + 2ca]
= 9a2 + 25b2 + c2 – 30ab + 10bc – 6ac
APPEARS IN
RELATED QUESTIONS
Evaluate the following using suitable identity:
(102)3
Factorise the following:
`27p^3-1/216-9/2p^2+1/4p`
What are the possible expressions for the dimensions of the cuboids whose volume is given below?
| Volume : 12ky2 + 8ky – 20k |
Write in the expanded form:
`(m + 2n - 5p)^2`
Evaluate of the following:
(598)3
Evaluate of the following:
1113 − 893
If x = 3 and y = − 1, find the values of the following using in identify:
\[\left( \frac{x}{7} + \frac{y}{3} \right) \left( \frac{x^2}{49} + \frac{y^2}{9} - \frac{xy}{21} \right)\]
If x + \[\frac{1}{x}\] = then find the value of \[x^2 + \frac{1}{x^2}\].
(x − y) (x + y) (x2 + y2) (x4 + y4) is equal to
Evaluate : (4a +3b)2 - (4a - 3b)2 + 48ab.
If x + y = `7/2 "and xy" =5/2`; find: x - y and x2 - y2
Expand the following:
(x - 5) (x - 4)
Find the squares of the following:
(2a + 3b - 4c)
Evaluate, using (a + b)(a - b)= a2 - b2.
15.9 x 16.1
If `x + (1)/x = "p", x - (1)/x = "q"`; find the relation between p and q.
Factorise the following:
9y2 – 66yz + 121z2
Expand the following:
(–x + 2y – 3z)2
Without actually calculating the cubes, find the value of:
(0.2)3 – (0.3)3 + (0.1)3
Find the value of x3 – 8y3 – 36xy – 216, when x = 2y + 6
Prove that (a + b + c)3 – a3 – b3 – c3 = 3(a + b)(b + c)(c + a).
