Advertisements
Advertisements
प्रश्न
Factorise the following:
4x2 + 20x + 25
Advertisements
उत्तर
4x2 + 20x + 25
= (2x)2 + 2 × 2x × 5 + (5)2
= (2x + 5)2 ...[Using identity, a2 + 2ab + b2 = (a + b)2]
APPEARS IN
संबंधित प्रश्न
Factorise:
4x2 + 9y2 + 16z2 + 12xy – 24yz – 16xz
Factorise:
27x3 + y3 + z3 – 9xyz
Evaluate the following using identities:
(399)2
If \[x^2 + \frac{1}{x^2} = 98\] ,find the value of \[x^3 + \frac{1}{x^3}\]
Find the following product:
\[\left( \frac{3}{x} - \frac{5}{y} \right) \left( \frac{9}{x^2} + \frac{25}{y^2} + \frac{15}{xy} \right)\]
If x = 3 and y = − 1, find the values of the following using in identify:
\[\left( \frac{x}{y} - \frac{y}{3} \right) \frac{x^2}{16} + \frac{xy}{12} + \frac{y^2}{9}\]
If x = −2 and y = 1, by using an identity find the value of the following
If \[x + \frac{1}{x} = 2\], then \[x^3 + \frac{1}{x^3} =\]
(a − b)3 + (b − c)3 + (c − a)3 =
If the volume of a cuboid is 3x2 − 27, then its possible dimensions are
If a + b + c = 0, then \[\frac{a^2}{bc} + \frac{b^2}{ca} + \frac{c^2}{ab} =\]
Use identities to evaluate : (101)2
If a2 - 3a + 1 = 0, and a ≠ 0; find:
- `a + 1/a`
- `a^2 + 1/a^2`
If 3x + 4y = 16 and xy = 4, find the value of 9x2 + 16y2.
Use the direct method to evaluate :
(3b−1) (3b+1)
Use the direct method to evaluate :
`(3/5"a"+1/2)(3/5"a"-1/2)`
Evaluate: (1.6x + 0.7y) (1.6x − 0.7y)
Using suitable identity, evaluate the following:
1033
Factorise the following:
`(2x + 1/3)^2 - (x - 1/2)^2`
Multiply x2 + 4y2 + z2 + 2xy + xz – 2yz by (–z + x – 2y).
