Advertisements
Advertisements
Question
Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
x2 + 2x + 1
Advertisements
Solution
We have,
x2 + 2x + 1
= x2 + 2 × 1 × x + 12
= (x + 1)2
= (x + 1)(x + 1)
APPEARS IN
RELATED QUESTIONS
Find the following squares by suing the identities.
(6x2 − 5y)2
Expand `("x"+1/2)^2`
Use an expansion formula to find the value.
(97)2
Evaluate the following, using suitable identity
512
Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
2x3 + 24x2 + 72x
Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
4x4 + 12x3 + 9x2
Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
`9x^2 + 2xy + y^2/9`
The area of a circle is given by the expression πx2 + 6πx + 9π. Find the radius of the circle.
If p + q = 12 and pq = 22, then find p2 + q2.
Verify the following:
(a + b)(a + b)(a + b) = a3 + 3a2b + 3ab2 + b3
