Advertisements
Advertisements
Question
Simplify:
(3x + 5y + 2z)(3x - 5y + 2z)
Advertisements
Solution
(3x + 5y + 2z)(3x - 5y + 2z)
= (3x + 2z + 5y)(3x + 2z - 5y)
= (3x + 2z)2 - (5y)2
= 9x2 + 2(3)(2z) + 4z2 - 25y2
= 9x2 - 25y2 + 4z2 + 12xz.
APPEARS IN
RELATED QUESTIONS
Write the following cube in expanded form:
`[3/2x+1]^3`
Without actually calculating the cubes, find the value of the following:
(28)3 + (–15)3 + (–13)3
If a + b = 10 and ab = 21, find the value of a3 + b3
Find the following product:
\[\left( \frac{x}{2} + 2y \right) \left( \frac{x^2}{4} - xy + 4 y^2 \right)\]
Find the following product:
If x = 3 and y = − 1, find the values of the following using in identify:
(9y2 − 4x2) (81y4 +36x2y2 + 16x4)
If \[x + \frac{1}{x}\] 4, then \[x^4 + \frac{1}{x^4} =\]
If \[\frac{a}{b} + \frac{b}{a} = - 1\] then a3 − b3 =
If `"a" - 1/"a" = 10`; find `"a"^2 - 1/"a"^2`
If `"a"^2 - 7"a" + 1` = 0 and a = ≠ 0, find :
`"a" + (1)/"a"`
