Advertisements
Advertisements
प्रश्न
Expand the following:
(–x + 2y – 3z)2
Advertisements
उत्तर
(–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
संबंधित प्रश्न
Verify:
x3 + y3 = (x + y) (x2 – xy + y2)
Factorise the following:
27y3 + 125z3
Evaluate the following using identities:
`(2x+ 1/x)^2`
Prove that a2 + b2 + c2 − ab − bc − ca is always non-negative for all values of a, b and c
Evaluate of the following:
1113 − 893
Simplify of the following:
\[\left( x + \frac{2}{x} \right)^3 + \left( x - \frac{2}{x} \right)^3\]
Find the following product:
\[\left( \frac{x}{2} + 2y \right) \left( \frac{x^2}{4} - xy + 4 y^2 \right)\]
Find the following product:
Find the following product:
(3x − 4y + 5z) (9x2 +16y2 + 25z2 + 12xy −15zx + 20yz)
If a + b + c = 0, then write the value of \[\frac{a^2}{bc} + \frac{b^2}{ca} + \frac{c^2}{ab}\]
Evaluate : (4a +3b)2 - (4a - 3b)2 + 48ab.
Evaluate: (9 − y) (7 + y)
Simplify by using formula :
(x + y - 3) (x + y + 3)
Evaluate the following without multiplying:
(95)2
Evaluate, using (a + b)(a - b)= a2 - b2.
999 x 1001
If `"a" + 1/"a" = 6;`find `"a" - 1/"a"`
If p + q = 8 and p - q = 4, find:
pq
The coefficient of x in the expansion of (x + 3)3 is ______.
Factorise the following:
`(2x + 1/3)^2 - (x - 1/2)^2`
Find the value of x3 – 8y3 – 36xy – 216, when x = 2y + 6
