How can I use the distributive property to multiply a question like (2x + 3)(x - 5)?

Answer 1

to use the distributive property, you have to distribute each factor to each other factor. One method is called foil. First, Outside, Inside, Last. So the first factors of each parentheses are 2x and x. The outside factors are -5 and 2x. The inside factors are 3 and x. the last factors are 2 and -5.

it looks like this:
(2x + 3)(x - 5)
2x(x) + -5(2x) + 3(x) + 3(-5)
2x-squared + (-10x) + (3x) - 15
2x-squared -7x -15

hope that helped!

Answer 2

First distribute 2x to each term in the second binomial:
2x * x and 2x * -5 to get 2x^2 - 10x

Then distribute the 3:
3 * x and 3 * -5 to get 3x - 15

Then combine like terms to get:
2x^2 - 7x - 15

The acronym FOIL can help you remember the order to multiply. First terms, Outer terms, Inner terms, Last terms

Answer 3

FOIL it.
Basically, it turns into:
[2X x X] + [2X x -5] + [3 x X] + [3 x -5]
Which turns into
2X^2 + -10X + 3X + -15
^ That's 2X to the second power
The you can combine the 2 middle terms because they're alike, so:
2X^2 - 7X -15

Answer 4

First locate out what the variables are that's a and x. Then placed those interior the situation of each variable. then you definately paintings out the difficulty by ability of doing the parenthesis first. when you those you will multiply. Like in view which you have 2( x + a million) you may take that once which multiply what you obtain interior the parenthesis and multiply it by ability of two by way of fact it got here in the previous the parenthesis. additionally, while it says 3a interior the 2d you may multiply the three by ability of the variable a. additionally, to simplify you may pass say x=what ever you obtain for the respond. additionally this could teach you a thank you to out. P-Parenthesis E- Exponents M- Multiply D- Divide A- Addition S- Subtraction

Answer 5

I think you need to distribute both elements of the first problem with both elements of the second. In other words:

2x * x (2x times x)
2x * -5
3 * x
3 * -5

which is 2x-squared (2 * x-squared) -10x +3x -15

which is 2x-squared -7x -15

I think.

Answer 6

FOIL....First Outer Inner Last....start with the first # in the sets [2x;x] then the outer numbers [2x;5], inner [3;x], ans last [3; -5].

Answer 7

well use the foil method and you get 2x squared -7x-15 hope i helped

Answer 8

yes

the answer is:

2x^2 - 2x - 15

Answer 9

yup, definitelty :)