Advertisements
Advertisements
Question
Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
a2x2 + 2abxy + b2y2
Sum
Advertisements
Solution
We have,
a2x2 + 2abxy + b2y2
= (ax)2 + 2 × ax × by + (by)2
= (ax + by)2
= (ax + by)(ax + by)
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
(2a − 7) (2a − 7)
Use a suitable identity to get the following products.
(7a − 9b) (7a − 9b)
Using identities, evaluate 297 × 303
Expand `("a"/2+"b"/3)^2`
Of which of the binomials given below is m2n2 + 14mnpq + 49p2q2 the expansion?
Expand:
`("p"/3 + "q"/4)^2`
Use a formula to multiply of (2a – 13)(2a + 13)
Expand: (2x + 3y)2
If a + b = 10 and ab = 18, find the value of a2 + b2
Verify the following:
(a + b)(a + b)(a + b) = a3 + 3a2b + 3ab2 + b3
