Advertisements
Advertisements
प्रश्न
Factorise the following:
25x2 + 16y2 + 4z2 – 40xy + 16yz – 20xz
Advertisements
उत्तर
25x2 + 16y2 + 4z2 – 40xy + 16yz – 20xz
= (–5x)2 + (4y)2 + (2z)2 + 2(–5x)(4y) + 2(4y)(2z) + 2(2z)(–5x) ...[Using identity, (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca]
= (–5x + 4y + 2z)2
= (–5x + 4y + 2z)(–5x + 4y + 2z)
APPEARS IN
संबंधित प्रश्न
Write the following cube in expanded form:
`[x-2/3y]^3`
Without actually calculating the cubes, find the value of the following:
(–12)3 + (7)3 + (5)3
Simplify: `(a + b + c)^2 - (a - b + c)^2`
Simplify the following expressions:
`(x^2 - x + 1)^2 - (x^2 + x + 1)^2`
Find the cube of the following binomials expression :
\[\frac{1}{x} + \frac{y}{3}\]
Evaluate:
483 − 303 − 183
If a + b + c = 9 and a2+ b2 + c2 =35, find the value of a3 + b3 + c3 −3abc
If the volume of a cuboid is 3x2 − 27, then its possible dimensions are
If \[3x + \frac{2}{x} = 7\] , then \[\left( 9 x^2 - \frac{4}{x^2} \right) =\]
The product (x2−1) (x4 + x2 + 1) is equal to
Find the square of : 3a + 7b
Use identities to evaluate : (502)2
If 3x + 4y = 16 and xy = 4, find the value of 9x2 + 16y2.
Use the direct method to evaluate :
(3x2+5y2) (3x2−5y2)
If `"a" + 1/"a" = 6;`find `"a" - 1/"a"`
If `"a"^2 - 7"a" + 1` = 0 and a = ≠ 0, find :
`"a"^2 + (1)/"a"^2`
If a2 + b2 + c2 = 41 and a + b + c = 9; find ab + bc + ca.
Simplify:
`("a" - 1/"a")^2 + ("a" + 1/"a")^2`
Expand the following:
(–x + 2y – 3z)2
Expand the following:
(3a – 2b)3
