Advertisements
Advertisements
Question
Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
a2x3 + 2abx2 + b2x
Sum
Advertisements
Solution
We have,
a2x3 + 2abx2 + b2x
= x(a2x2 + 2abx + b2)
= x[(ax)2 + 2 × ax × b + b2]
= x(ax + b)2
= x(ax + b)(ax + b)
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
Use a suitable identity to get the following products.
(6x − 7) (6x + 7)
Use a suitable identity to get the following products.
(− a + c) (− a + c)
Simplify (2x +5)2 − (2x − 5)2
Using identities, evaluate 1.05 × 9.5
Using a2 − b2 = (a + b) (a − b), find (1.02)2 − (0.98)2
Expand:
(2a – 3b)2
Expand the following square, using suitable identities
(mn + 3p)2
Factorise the following using suitable identity
36m2 + 60m + 25
Factorise the following.
x2 + 15x + 26
If a2 + b2 = 74 and ab = 35, then find a + b.
