Advertisements
Advertisements
Question
Expand the following:
(–x + 2y – 3z)2
Advertisements
Solution
(–x + 2y – 3z)2
= (–x)2 + (2y)2 + (–3z)2 + 2(–x)(2y) + 2(y)(–3z) + 2(–3z)(–x) ...[Using identity, (a + b + c)2 – a2 + b2 + c2 + 2ab + 2bc + 2ca]
= x2 + 4y2 + 9z2 – 4xy – 12yz + 6x
APPEARS IN
RELATED QUESTIONS
Use suitable identity to find the following product:
(x + 8) (x – 10)
Without actually calculating the cubes, find the value of the following:
(–12)3 + (7)3 + (5)3
Evaluate the following using identities:
(2x + y) (2x − y)
Simplify the following products:
`(x/2 - 2/5)(2/5 - x/2) - x^2 + 2x`
Write in the expanded form:
(2a - 3b - c)2
Write the expanded form:
`(-3x + y + z)^2`
Find the cube of the following binomials expression :
\[\frac{3}{x} - \frac{2}{x^2}\]
If \[x^2 + \frac{1}{x^2}\], find the value of \[x^3 - \frac{1}{x^3}\]
Simplify of the following:
Evaluate:
483 − 303 − 183
If a + b = 7 and ab = 12, find the value of a2 + b2
Mark the correct alternative in each of the following:
If \[x + \frac{1}{x} = 5\] then \[x^2 + \frac{1}{x^2} = \]
If \[x + \frac{1}{x}\] 4, then \[x^4 + \frac{1}{x^4} =\]
If a + b + c = 0, then \[\frac{a^2}{bc} + \frac{b^2}{ca} + \frac{c^2}{ab} =\]
Use identities to evaluate : (97)2
Evalute : `((2x)/7 - (7y)/4)^2`
If a - b = 4 and a + b = 6; find
(i) a2 + b2
(ii) ab
Use the direct method to evaluate :
`("a"/2-"b"/3)("a"/2+"b"/3)`
Find the squares of the following:
3p - 4q2
Evaluate the following :
1.81 x 1.81 - 1.81 x 2.19 + 2.19 x 2.19
