Advertisements
Advertisements
Question
Write in the expanded form (a2 + b2 + c2 )2
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
Factorise:
`2x^2 + y^2 + 8z^2 - 2sqrt2xy + 4sqrt2yz - 8xz`
Write the following cube in expanded form:
(2x + 1)3
Simplify the following products:
`(m + n/7)^3 (m - n/7)`
Write the expanded form:
`(-3x + y + z)^2`
Write in the expanded form: `(x + 2y + 4z)^2`
Find the value of 27x3 + 8y3, if 3x + 2y = 14 and xy = 8
Simplify of the following:
(2x − 5y)3 − (2x + 5y)3
If x = 3 and y = − 1, find the values of the following using in identify:
\[\left( \frac{x}{y} - \frac{y}{3} \right) \frac{x^2}{16} + \frac{xy}{12} + \frac{y^2}{9}\]
Evaluate:
253 − 753 + 503
Evaluate:
483 − 303 − 183
If x + y + z = 8 and xy +yz +zx = 20, find the value of x3 + y3 + z3 −3xyz
If \[x^4 + \frac{1}{x^4} = 194,\] then \[x^3 + \frac{1}{x^3} =\]
Find the square of : 3a - 4b
Use identities to evaluate : (97)2
Evaluate: (1.6x + 0.7y) (1.6x − 0.7y)
Evaluate: 20.8 × 19.2
Simplify:
(2x - 4y + 7)(2x + 4y + 7)
Factorise the following:
`(2x + 1/3)^2 - (x - 1/2)^2`
Expand the following:
(3a – 5b – c)2
