Question

Add the polynomials 4xy2 – 7x2 y, 12x2 y – 6xy2 and 5xy2 – 3x2 y​

Answer 1

Given- three polynomials 4xy2 - 7x2y, 12x2y- 6xy2, 5xy2- 3x2y

To find - the sum of these three polynomials

Solution -

4xy2 - 7x2y + 12x2y - 6 xy2 + 5xy2 - 3x2y

First of all, we have to rearrange the similar terms

4xy2 - 6 xy2 + 5xy2 -7 x2y +12 x2y - 3x2y

Taking xy2 and x2y common we get

= xy2 ( 4 - 6 + 5 ) - x2y ( 7 + 12 - 3 )

= 3 xy2 - 16 x2y

So the solution is 3xy2 - 16 x2y