Question

The product of -a^2b^2c^2(a+b-c)

Answer 1

=−a3b2c2−a2b3c2+a2b2c is the answer

Answer 2

Answer:   The required product is $-a^3b^2c^2-a^2b^3c^2+a^2b^2c^3.$

Step-by-step explanation:  We are given to find the following product :

$P=-a^2b^2c^2(a+b-c)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

We will be using the following property of exponents to find the give product :

$x^a\times x^b=x^{a+b}.$

The product (i) can be calculated as follows :

$P\\\\=-a^2b^2c^2(a+b-c)\\\\=-a^{2+1}b^2c^2-a^2b^{2+1}c^2+a^2b^2c^{2+1}\\\\=-a^3b^2c^2-a^2b^3c^2+a^2b^2c^3.$

Thus, the required product is $-a^3b^2c^2-a^2b^3c^2+a^2b^2c^3.$