Advertisements
Advertisements
प्रश्न
Factorise the following using appropriate identity:
9x2 + 6xy + y2
Advertisements
उत्तर
9x2 + 6xy + y2
= (3x)2 + 2(3x)(y) + (y)2
= (3x + y)2 ...[x2 + 2xy + y2 = (x + y)2]
= (3x + y)(3x + y)
APPEARS IN
संबंधित प्रश्न
If 3x - 7y = 10 and xy = -1, find the value of `9x^2 + 49y^2`
Simplify the following products:
`(x^3 - 3x^2 - x)(x^2 - 3x + 1)`
Write in the expanded form:
`(2 + x - 2y)^2`
Write in the expanded form: (-2x + 3y + 2z)2
Evaluate the following:
(98)3
Evaluate of the following:
1113 − 893
Simplify of the following:
\[\left( x + \frac{2}{x} \right)^3 + \left( x - \frac{2}{x} \right)^3\]
If a + b = 10 and ab = 16, find the value of a2 − ab + b2 and a2 + ab + b2
If a + b = 7 and ab = 12, find the value of a2 + b2
If a + b = 7 and ab = 10; find a - b.
Use the direct method to evaluate the following products :
(y + 5)(y – 3)
Use the direct method to evaluate the following products :
(b – 3) (b – 5)
Use the direct method to evaluate :
(3x2+5y2) (3x2−5y2)
Find the squares of the following:
9m - 2n
Evaluate the following without multiplying:
(103)2
If x + y = 9, xy = 20
find: x2 - y2.
If `"a" + 1/"a" = 6;`find `"a"^2 - 1/"a"^2`
Simplify:
`(x - 1/x)(x^2 + 1 + 1/x^2)`
Simplify:
(x + 2y + 3z)(x2 + 4y2 + 9z2 - 2xy - 6yz - 3zx)
If a + b + c = 9 and ab + bc + ca = 26, find a2 + b2 + c2.
