Question

What is the product?
(4x) (-3x 8) (-7x²)

Answer 1

84x12

Step-by-step explanation:

Answer 2

The product of the expression is
`84 x^(11)`

Step-by-step explanation:

The expression is
`(4 x)(-3 x ^8)\left(-7 x^(2)\right)`

Let us simplify the expression by multiplying the first two terms.

Thus, we have,

`[(4 x)(-3 x ^8)]\left(-7 x^(2)\right)`

First, multiplying the coefficients, we get,
`4(-3)=-12`

Since, the base x is common for both the terms, we can add the exponent.

Thus, we get,
`x\left(x^(8)\right)=x^(1+8)=x^(9)`

Thus, the simplification of the first two terms, we have,

`(-12x^9)(-7x^(2) )`

Similarly, we shall multiply the terms
`(-12x^9)(-7x^(2) )`, we get,

Multiplying the coefficients, we have,
`-12(-7)=84`

Adding the exponents, we have,
`x^9\left(x^(2)\right)=x^(9+2)=x^(11)`

Thus, this gives
`84 x^(11)`

Hence, the product of the expression is
`84 x^(11)`