Advertisements
Advertisements
Question
Expand the following:
(–x + 2y – 3z)2
Advertisements
Solution
(–x + 2y – 3z)2
= (–x)2 + (2y)2 + (–3z)2 + 2(–x)(2y) + 2(y)(–3z) + 2(–3z)(–x) ...[Using identity, (a + b + c)2 – a2 + b2 + c2 + 2ab + 2bc + 2ca]
= x2 + 4y2 + 9z2 – 4xy – 12yz + 6x
APPEARS IN
RELATED QUESTIONS
Use suitable identity to find the following product:
`(y^2+3/2)(y^2-3/2)`
Factorise the following using appropriate identity:
9x2 + 6xy + y2
Factorise the following:
8a3 + b3 + 12a2b + 6ab2
Without actually calculating the cubes, find the value of the following:
(–12)3 + (7)3 + (5)3
Evaluate following using identities:
991 ☓ 1009
Simplify the following:
0.76 x 0.76 - 2 x 0.76 x 0.24 x 0.24 + 0.24
Simplify the following products:
`(x^3 - 3x^2 - x)(x^2 - 3x + 1)`
Write in the expanded form:
`(m + 2n - 5p)^2`
If \[x - \frac{1}{x} = \frac{1}{2}\],then write the value of \[4 x^2 + \frac{4}{x^2}\]
If a + b + c = 0, then write the value of \[\frac{a^2}{bc} + \frac{b^2}{ca} + \frac{c^2}{ab}\]
\[\frac{( a^2 - b^2 )^3 + ( b^2 - c^2 )^3 + ( c^2 - a^2 )^3}{(a - b )^3 + (b - c )^3 + (c - a )^3} =\]
Find the square of : 3a + 7b
Expand the following:
(3x + 4) (2x - 1)
Find the squares of the following:
`(7x)/(9y) - (9y)/(7x)`
Evaluate, using (a + b)(a - b)= a2 - b2.
15.9 x 16.1
If `x^2 + (1)/x^2 = 18`; find : `x - (1)/x`
If `"p" + (1)/"p" = 6`; find : `"p"^2 + (1)/"p"^2`
Simplify:
(7a +5b)2 - (7a - 5b)2
Expand the following:
`(1/x + y/3)^3`
Find the following product:
`(x/2 + 2y)(x^2/4 - xy + 4y^2)`
