Question

Multiply:
(viii) $6x{y}^2-7x^2{y}^2+10x^{3}and-3x^2{y}^3$

Answer 1

Step: Multiplying the given expressions
Given, $6x{y}^2-7x^2{y}^2+10x^{3}and-3x^2{y}^3$
Required product $=-3x^2{y}^3(6x{y}^2-7x^2{y}^2+10x^3)$ $=-3\times 6\times x^2{y}^3\times x{y}^2+3\times 7\times x^2{y}^3\times x^2{y}^2-3\times 10\times x^2{y}^3\times x^3$ $=-18\times x^2\times x\times y^3\times y^2+21\times x^2\times x^2\times y^3\times y^2-30\times x^2\times x^3\times y^3$ $=-18x^3{y}^5+21x^4{y}^5-30x^5{y}^3[a^m\times a^n=a^{(}m+n)]$ Hence, the answer is $-18x^3{y}^5+21x^4{y}^5-30x^5{y}^3$