Advertisements
Advertisements
प्रश्न
Factorise the following:
9x2 + 4y2 + 16z2 + 12xy – 16yz – 24xz
Advertisements
उत्तर
9x2 + 4y2 + 16z2 + 12xy – 16yz – 24xz
= (3x)2 + (2y)2 + (–4z)2 + 2(3x)(2y) + 2(2y)(–4z) + 2(–4z)(3x) ...[Using identity, (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca]
= (3x + 2y – 4z)2
= (3x + 2y – 4z)(3x + 2y – 4z)
APPEARS IN
संबंधित प्रश्न
Evaluate the following using suitable identity:
(998)3
Factorise the following:
27y3 + 125z3
if `x^2 + 1/x^2 = 79` Find the value of `x + 1/x`
Find the following product:
(3x + 2y) (9x2 − 6xy + 4y2)
Find the following product:
If x = 3 and y = − 1, find the values of the following using in identify:
(9y2 − 4x2) (81y4 +36x2y2 + 16x4)
If x = −2 and y = 1, by using an identity find the value of the following
Find the following product:
(3x − 4y + 5z) (9x2 +16y2 + 25z2 + 12xy −15zx + 20yz)
If \[x^2 + \frac{1}{x^2} = 102\], then \[x - \frac{1}{x}\] =
Find the square of : 3a - 4b
Use the direct method to evaluate :
(4+5x) (4−5x)
Use the direct method to evaluate :
`("z"-2/3)("z"+2/3)`
Evaluate: (2a + 0.5) (7a − 0.3)
Evaluate: (5xy − 7) (7xy + 9)
Expand the following:
(x - 5) (x - 4)
If x + y = 9, xy = 20
find: x2 - y2.
If a2 - 3a - 1 = 0 and a ≠ 0, find : `"a" + (1)/"a"`
If `x/y + y/x = -1 (x, y ≠ 0)`, the value of x3 – y3 is ______.
Using suitable identity, evaluate the following:
1033
