How do you simplify (3x-3)(x-5)?

Terrence Mcfarland

Terrence Mcfarland

Answered question

2022-02-09

How do you simplify (3x-3)(x-5)?

Answer & Explanation

Alvaro Pollard

Alvaro Pollard

Beginner2022-02-10Added 16 answers

Simplify:
(3x-3)(x-5)
Use the FOIL method:
(3x-3)(x-5)=(3x)(x)+(3x)(-5)+(-3)(x)+(-3)(-5)
Simplify.
(3x3)(x5)=3x215x3x=15
Collect like terms.
(3x3)(x5)=3x2+(15x3x)+15
Simplify.
(3x3))(x5)=3x218x+15
lapinar7g1

lapinar7g1

Beginner2022-02-11Added 13 answers

We employ the FOIL method, which stands for First, Outside, Inside, Last, to decompose an issue like this.
For example, in the equation (a+b)(c+d), te FOIL method begins like this:
First: We multiply the two "first" values, a and c
Outside: We multiply the a and d values that are outside.
Inside: We multiply the inside values, b and c
Last: We multiply the two "last" values, b and d
So for (3x-3)(x-5), the FOIL method begins like this:
First: We multiply the two "first" values, 3x and x
Outside: We multiply the outside values, 3x and -5
Inside: We multiply the inside values, -3 and x
Last: We multiply the two "last" values, -3 and -5
Now, all we have to do is add each of these. As a result, ac+ad+bc+bd would be our first example.
In the problem we're trying to solve, we get (3x2)+(15x)+(3x)+(15)
We finish simplifying by combining like terms, so in this example -15x and -3x can be added to get -18x. Remember, we only add terms with the same variable.
So the final simplified answer is 3x218x+15

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