Advertisements
Advertisements
Question
Factorise the following using appropriate identity:
9x2 + 6xy + y2
Advertisements
Solution
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
RELATED QUESTIONS
Factorise the following:
64a3 – 27b3 – 144a2b + 108ab2
Write the expanded form:
`(-3x + y + z)^2`
If \[x + \frac{1}{x} = 3\], calculate \[x^2 + \frac{1}{x^2}, x^3 + \frac{1}{x^3}\] and \[x^4 + \frac{1}{x^4}\]
If \[x^4 + \frac{1}{x^4} = 119\] , find the value of \[x^3 - \frac{1}{x^3}\]
Find the following product:
Find the following product:
(3x − 4y + 5z) (9x2 +16y2 + 25z2 + 12xy −15zx + 20yz)
Evaluate:
483 − 303 − 183
If a + b + c = 9 and a2+ b2 + c2 =35, find the value of a3 + b3 + c3 −3abc
If a2 - 3a + 1 = 0, and a ≠ 0; find:
- `a + 1/a`
- `a^2 + 1/a^2`
Use the direct method to evaluate :
(x+1) (x−1)
Use the direct method to evaluate :
(2a+3) (2a−3)
Use the direct method to evaluate :
(xy+4) (xy−4)
Evaluate, using (a + b)(a - b)= a2 - b2.
999 x 1001
Evaluate, using (a + b)(a - b)= a2 - b2.
15.9 x 16.1
If `"a" - 1/"a" = 10;` find `"a" + 1/"a"`
Simplify:
(3a - 7b + 3)(3a - 7b + 5)
Which one of the following is a polynomial?
Expand the following:
(–x + 2y – 3z)2
