# Algebra

posted by .

How does 3x(4x+5)-5(4x+5) factor out to be (4x+5)(3x-5) ? This may be wrong, because I wrote this answer in my notes, but could some one please explain this to me? Also, do you have any tips on factoring? I understand the concept when I see an example(Usually), but I have a very hard time actually doing it.

• Algebra -

You have two different terms (3x and -5) that both multiply (4x + 5) . You can add these two terms together into (3x - 5)

You are using the "distributive" rule that
(x + y)z = xz + yz
but in this case you are using it "backwards".

x, y and z can be constants or algebraic terms

## Similar Questions

1. ### MATH

How do you write fractions in simplest form?
2. ### Math!

Factoring Completely! 13b^2-13 I got (13b-13)(1b-1). On my test my teacher said it was party wrong.And she underlined the two Thirteen's i had in my answer. And i don't understand why!?
3. ### algebra2

Solve each of the following quadratic equations. can some explain how to do these kinds of problems 4x^2=13x+12 i believe if i am understanding this i am supose to add to where i get =0 4x^2-13x+12=0 now what do i need to do I am thinking …
4. ### Liberal Arts Math

how would i solve this problem?? it says factor the polynomial completely: 2xy-3y-40x+60 I studied polynomials, but I don't know what it means to factor them. Do you have a definition in your textbook or notes or something?
5. ### algebra

3ax^2 - 27a You can factor that into 3a (x^2 - 9), which also equals 3a(x-3)(x+3). It is not clear from your question what you are supposed to do with that algebraic expression. If it were equal to zero, x would be +3 or -3. If you …
6. ### Algebra

x^2+2x-15/4x^2/x^2-25/2x-10 You need to use parentheses to clarify the meaning of what you wrote. You can't have a four-story fraction with three / signs x^2+2x-15 factors into (x+5)(x-3) There is also an (x+5) factor in x^2-25,and …
7. ### Algebra

I have a question I hope someone can explain it to me. We are working on Demonstrate that f actoring a polynomial. I was ask Why can you factor x² - 4 but you cannot factor x² + 4?
8. ### Algebra

(x+4)^2=18. (x+4)(x+4)-18= x^2+8x-2=0. (x )(x )I have no idea how to factor this because no factors of two will add up to 48. Can you offer an explanation and tips on factoring this sort of question?
9. ### Algebra

What does it mean to be "simplified" which one is most "simple" 2(3+5) or 6 + 10 ?
10. ### Algebra

This is giving me a lot of trouble. Factoring Differences of Squares Factor Completely 98-8w^2 and can you explain how you got the common factor if there is one please

More Similar Questions