Advertisements
Advertisements
प्रश्न
Write in the expanded form: `(x + 2y + 4z)^2`
Advertisements
उत्तर
`(x + 2y + 4z)^2 = x^2 + (2y)^2 + (4z)^2 + 2x(2y) + 2(2y)(4z) + 2x(4z)`
`= x^2 + 4y^2 + 16z^2 + 4xy + 16yz + 4xz`
APPEARS IN
संबंधित प्रश्न
Evaluate the following using suitable identity:
(998)3
Factorise the following:
8a3 + b3 + 12a2b + 6ab2
Simplify the following
`(7.83 + 7.83 - 1.17 xx 1.17)/6.66`
Simplify (a + b + c)2 + (a - b + c)2
If x = −2 and y = 1, by using an identity find the value of the following
Evaluate:
253 − 753 + 503
If a + b + c = 0, then \[\frac{a^2}{bc} + \frac{b^2}{ca} + \frac{c^2}{ab} =\]
If x + y = `7/2 "and xy" =5/2`; find: x - y and x2 - y2
If a + `1/a`= 6 and a ≠ 0 find :
(i) `a - 1/a (ii) a^2 - 1/a^2`
Use the direct method to evaluate :
(3x2+5y2) (3x2−5y2)
Use the direct method to evaluate :
`(3/5"a"+1/2)(3/5"a"-1/2)`
Evaluate: (1.6x + 0.7y) (1.6x − 0.7y)
Expand the following:
(2p - 3q)2
If p + q = 8 and p - q = 4, find:
pq
If x + y + z = 12 and xy + yz + zx = 27; find x2 + y2 + z2.
If p2 + q2 + r2 = 82 and pq + qr + pr = 18; find p + q + r.
Factorise the following:
`(2x + 1/3)^2 - (x - 1/2)^2`
Without actually calculating the cubes, find the value of:
`(1/2)^3 + (1/3)^3 - (5/6)^3`
Prove that (a + b + c)3 – a3 – b3 – c3 = 3(a + b)(b + c)(c + a).
