Question

Multiply and simplify. Show work to earn full credit.
(7x-6)*(3x^2-4x+5)

Answer 1

The solution is
`21 x^(3)-46 x^(2)+59 x-30`

Step-by-step explanation:

The given expression is
`(7 x-6)\left(3 x^(2)-4 x+5\right)`

We need to multiply and simplify the expression.

Let us multiply each of term within the parenthesis.

Thus, we get,

`7 x \cdot 3 x^(2)+7 x(-4 x)+7 x \cdot 5+(-6) \cdot 3 x^(2)+(-6)(-4 x)+(-6) \cdot 5`

Now, simplifying each term in the expression, we have,

`21x^3-28x^2+35x-18x^(2) +24x-30`

Adding the like terms, we get,

`21 x^(3)-46 x^(2)+59 x-30`

Hence, the simplified expression is
`21 x^(3)-46 x^(2)+59 x-30`

Therefore, the solution is
`21 x^(3)-46 x^(2)+59 x-30`