wiz-icon
MyQuestionIcon
MyQuestionIcon
2
You visited us 2 times! Enjoying our articles? Unlock Full Access!
Question

Derive the following identity: (xa)(xb)=x2x(a+b)+ab

Open in App
Solution

(xa)(xb)=x2x(a+b)+ab
First take L.H.S
(xa)(xb)
To multiply two polynomials, we multiply each monomial of one polynomial (with its sign) by each monomial (with its sign) of the other polynomial.
= x.xx.ba.x+a.b
= x2x(a+b)+ab
So, L.H.S = R.H.S
x2x(a+b)+ab=x2x(a+b)+ab

flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Multiplication of Algebraic Expressions
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon