Advertisements
Advertisements
Question
Factorise:
4x2 + 9y2 + 16z2 + 12xy – 24yz – 16xz
Advertisements
Solution
It is known that,
(x + y + z)2 = x2 + y2 + z2 + 2xy + 2yz + 2zx
4x2 + 9y2 + 16z2 + 12xy – 24yz – 16xz
= (2x)2 + (3y)2 + (−4z)2 + 2(2x)(3y) + 2(3y)(−4z) + 2(−4z)(2x)
= (2x + 3y – 4z)2
= (2x + 3y – 4z)(2x + 3y – 4z)
APPEARS IN
RELATED QUESTIONS
Factorise the following using appropriate identity:
9x2 + 6xy + y2
Expand the following, using suitable identity:
`[1/4a-1/2b+1]^2`
Evaluate the following using identities:
(2x + y) (2x − y)
If 2x + 3y = 8 and xy = 2 find the value of `4x^2 + 9y^2`
Evaluate the following:
(98)3
Evaluate of the following:
1113 − 893
Evaluate of the following:
463+343
Simplify of the following:
If `x^4 + 1/x^4 = 194, "find" x^3 + 1/x^3`
Find the following product:
(4x − 3y + 2z) (16x2 + 9y2 + 4z2 + 12xy + 6yz − 8zx)
If a + b + c = 0, then write the value of \[\frac{a^2}{bc} + \frac{b^2}{ca} + \frac{c^2}{ab}\]
75 × 75 + 2 × 75 × 25 + 25 × 25 is equal to
If \[x - \frac{1}{x} = \frac{15}{4}\], then \[x + \frac{1}{x}\] =
If a1/3 + b1/3 + c1/3 = 0, then
Use the direct method to evaluate :
`(3/5"a"+1/2)(3/5"a"-1/2)`
If a - b = 10 and ab = 11; find a + b.
If p + q = 8 and p - q = 4, find:
p2 + q2
If `"a"^2 - 7"a" + 1` = 0 and a = ≠ 0, find :
`"a" + (1)/"a"`
Using suitable identity, evaluate the following:
101 × 102
Simplify (2x – 5y)3 – (2x + 5y)3.
