Advertisements
Advertisements
Question
Write in the expanded form (a2 + b2 + c2 )2
Advertisements
Solution
We have
(a2 + b2 + c2 )2 = (a2 )2 + (b2 )2 + (c2 )2 + 2a2b2 + 2b2c2 + 2a2c2
∵ (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca
= a4 + b4 + c4 + 2a2b2 + 2b2c2 + 2a2c2
∴ (a2 + b2 + c2 )2 = a4 + b4 + c4 + 2a2b2 + 2b2c2 + 2a2c2
APPEARS IN
RELATED QUESTIONS
Evaluate the following using suitable identity:
(102)3
Factorise the following:
64a3 – 27b3 – 144a2b + 108ab2
if `x + 1/x = 11`, find the value of `x^2 + 1/x^2`
If `x^2 + 1/x^2 = 66`, find the value of `x - 1/x`
Write in the expand form: `(2x - y + z)^2`
If a − b = 4 and ab = 21, find the value of a3 −b3
Find the following product:
\[\left( \frac{x}{2} + 2y \right) \left( \frac{x^2}{4} - xy + 4 y^2 \right)\]
If a + b + c = 9 and a2+ b2 + c2 =35, find the value of a3 + b3 + c3 −3abc
Use the direct method to evaluate the following products :
(b – 3) (b – 5)
Use the direct method to evaluate :
(xy+4) (xy−4)
Evaluate: 203 × 197
Find the squares of the following:
9m - 2n
Find the squares of the following:
3p - 4q2
Find the squares of the following:
`(7x)/(9y) - (9y)/(7x)`
Evaluate, using (a + b)(a - b)= a2 - b2.
999 x 1001
If a - b = 10 and ab = 11; find a + b.
If `"a" + 1/"a" = 6;`find `"a" - 1/"a"`
If x + y = 1 and xy = -12; find:
x - y
If a2 - 3a - 1 = 0 and a ≠ 0, find : `"a"^2 - (1)/"a"^2`
Simplify:
`("a" - 1/"a")^2 + ("a" + 1/"a")^2`
