Advertisements
Advertisements
प्रश्न
Expand the following:
(–x + 2y – 3z)2
उत्तर
(–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
संबंधित प्रश्न
Use suitable identity to find the following product:
(3x + 4) (3x – 5)
Evaluate the following product without multiplying directly:
103 × 107
Expand the following, using suitable identity:
(2x – y + z)2
Write the following cube in expanded form:
(2a – 3b)3
Simplify the following products:
`(x^3 - 3x^2 - x)(x^2 - 3x + 1)`
If a + b + c = 9 and ab + bc + ca = 23, find the value of a2 + b2 + c2.
Evaluate the following:
(98)3
Find the following product:
If a2 + b2 + c2 − ab − bc − ca =0, then
Use identities to evaluate : (998)2
Evaluate: `(3"x"+1/2)(2"x"+1/3)`
Evaluate: (9 − y) (7 + y)
Evaluate: (6 − 5xy) (6 + 5xy)
Expand the following:
(2x - 5) (2x + 5) (2x- 3)
Simplify by using formula :
(5x - 9) (5x + 9)
If a - b = 10 and ab = 11; find a + b.
If `"a" - 1/"a" = 10;` find `"a" + 1/"a"`
If `"a"^2 - 7"a" + 1` = 0 and a = ≠ 0, find :
`"a"^2 + (1)/"a"^2`
If 2x + 3y = 10 and xy = 5; find the value of 4x2 + 9y2
Expand the following:
`(1/x + y/3)^3`