Advertisements
Advertisements
Question
Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
2x3 + 24x2 + 72x
Sum
Advertisements
Solution
We have,
2x3 + 24x2 + 72x
= 2x(x2 + 12x + 36)
= 2x(x2 + 2 × 6 × x + 62)
= 2x(x + 6)2
= 2x(x + 6)(x + 6)
shaalaa.com
Is there an error in this question or solution?
Chapter 7: Algebraic Expression, Identities and Factorisation - Exercise [Page 234]
APPEARS IN
RELATED QUESTIONS
Find the following squares by suing the identities
(xy + 3z)2
Find the following squares by suing the identities.
(6x2 − 5y)2
Simplify (4m + 5n)2 + (5m + 4n)2
Simplify (2.5p − 1.5q)2 − (1.5p − 2.5q)2
Using identities, evaluate 8.92
Use a formula to multiply of (x - 5)(x + 5).
Use a formula to multiply of (2a – 13)(2a + 13)
Factorise the following.
x2 + 9x + 20
If p + q = 12 and pq = 22, then find p2 + q2.
If a + b = 25 and a2 + b2 = 225, then find ab.
