Question

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Multiplying a Binomial by a Binomial
Warm-Up
BRES
Multiply: (3x - 5)(-x+4)
Applying the distributive property, the expression becomes (3x)(-x) + (3x)(4) + (-5)(-x) + (-5)(4).
What is the simplified product in standard form?
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7

Answer 1

Given:

Multiply:
`(3x-5)(-x+4)`.

To find:

The simplified product in standard form.

Solution:

We have,

`(3x-5)(-x+4)`

Applying the distributive property, the expression becomes

`=(3x)(-x)+(3x)(4)+(-5)(-x)+(-5)(4)`

`=(-3x^2)+12x+5x+(-20)`

On combining like terms, we get

`=-3x^2+(12x+5x)-20`

`=-3x^2+17x-20`

Therefore, the simplified product in standard form is
`-3x^2+17x-20`.