Advertisements
Advertisements
प्रश्न
Write the expanded form:
`(-3x + y + z)^2`
Advertisements
उत्तर
`(-3x + y + z)^2 = [(-3x) + y + z]^2`
`=(-3x)^2 + y^2 + z^2 + 2(-3x)y + 2yz + 2(-3x)z`
`[∵(a + b + c)^2 = a^2 + b^2 + c^2 + 2ab + 2bc + 2ca]`
`= 9x^2 + y^2 + z^2 - 6xy + 2yz - 6xz`
`∴ (-3x + y + z)^2 = 9x^2 + y^2 + z^2 - 6xy + 2xy - 6xz`
APPEARS IN
संबंधित प्रश्न
Expand the following, using suitable identity:
(x + 2y + 4z)2
Write the following cube in expanded form:
(2a – 3b)3
Write the following cube in expanded form:
`[x-2/3y]^3`
Evaluate the following using suitable identity:
(998)3
Evaluate following using identities:
991 ☓ 1009
Evaluate the following using identities:
117 x 83
Simplify the following products:
`(1/2a - 3b)(1/2a + 3b)(1/4a^2 + 9b^2)`
Write in the expanded form (a2 + b2 + c2 )2
Evaluate of the following:
1113 − 893
If x = 3 and y = − 1, find the values of the following using in identify:
\[\left( \frac{5}{x} + 5x \right)\] \[\left( \frac{25}{x^2} - 25 + 25 x^2 \right)\]
Mark the correct alternative in each of the following:
If \[x + \frac{1}{x} = 5\] then \[x^2 + \frac{1}{x^2} = \]
If \[x^2 + \frac{1}{x^2} = 102\], then \[x - \frac{1}{x}\] =
If \[3x + \frac{2}{x} = 7\] , then \[\left( 9 x^2 - \frac{4}{x^2} \right) =\]
If a + b = 7 and ab = 10; find a - b.
If a - b = 0.9 and ab = 0.36; find:
(i) a + b
(ii) a2 - b2.
The difference between two positive numbers is 5 and the sum of their squares is 73. Find the product of these numbers.
Evaluate: (6 − 5xy) (6 + 5xy)
If `"a" + 1/"a" = 6;`find `"a"^2 - 1/"a"^2`
Expand the following:
(3a – 5b – c)2
Expand the following:
(–x + 2y – 3z)2
