Question

Multiply.

(−3x+4)(2x−1)

Express the answer in standard form.
Enter your answer in the box.

Answer 1

Sorry for the delay but I answered your question and the answer is -6xsquare +11x-4

Answer 2

The standard form is
`-6x^2+11x-4`

Explanation:

Given :
`(-3x+4)(2x-1)`

We have to multiply
`(-3x+4)(2x-1)`

Consider the given
`(-3x+4)(2x-1)`

`\mathrm{Apply\:FOIL\:method}:\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd`

Here, a = 3x , b = 4 , c = 2x , d = -1

`=\left(-3x\right)\cdot \:2x+\left(-3x\right)\left(-1\right)+4\cdot \:2x+4\left(-1\right)`

Apply plus- minus rule,
`+\left(-a\right)=-a,\:\:\left(-a\right)\left(-b\right)=ab`

`=-3\cdot \:2xx+3\cdot \:1\cdot \:x+4\cdot \:2x-4\cdot \:1`

Simplify, by adding similar terms, we get,

`=-6x^2+11x-4`

Thus, The standard form is
`-6x^2+11x-4`