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* 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.`