Advertisements
Advertisements
Question
Expand : (3x - 5y - 2z) (3x - 5y + 2z)
Sum
Advertisements
Solution
(3x - 5y - 2z) (3x - 5y + 2z)
= {(3x - 5y) - (2z)} {(3x - 5y) + (2z)}
= (3x - 5y)2 - (2z)2{since(a + b) (a - b) = a2 - b2}
= 9x2 + 25y2 - 2 × 3x × 5y - 4z2
= 9x2 + 25y2- 30xy - 4z2
= 9x2 +25y2 - 4z2 - 30xy
shaalaa.com
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Find the cube of : `2a + 1/(2a)` ( a ≠ 0 )
If a + 2b + c = 0; then show that: a3 + 8b3 + c3 = 6abc.
Expand : (3x + 5y + 2z) (3x - 5y + 2z)
If a ≠ 0 and `a- 1/a` = 3 ; Find :
`a^3 - 1/a^3`
Find the cube of: `3"a" + (1)/(3"a")`
Find the cube of: `"a" - (1)/"a" + "b"`
If `5x + (1)/(5x) = 7`; find the value of `125x^3 + (1)/(125x^3)`.
If `("a" + 1/"a")^2 = 3`; then show that `"a"^3 + (1)/"a"^3 = 0`
If p - q = -1 and pq = -12, find p3 - q3
Expand: `[x + 1/y]^3`
