78.5k views
1 vote
How develop this : (3x+1)²-(x-5)²

1 Answer

5 votes

Answer:8x^2+16x-24

Step-by-step explanation: Break this question into two parts

Solve (3x+1)^2 first

This is the same as (3x+1)(3x+1)

To expand the brackets we multiply the first term from the first bracket with the last bracket

3x(3x+1)=9x^2+3x

and the second term from the first bracket with the last bracket. 1(3x+1)=3x+1

This gives 9x^2+3x +3x+1..... combining the two together

Adding together like terms gives us the following:

9x^2+6x+1

Now we work on the second part

(x-5)^2=(x-5)(x-5)

Again using the same method, the first term of the first bracket with the last bracket

x(x-5)=x^2-5x

and the second term of the first bracket with the last bracket

-5(x-5)=-5x+25

Combining the two together gives us x^2-5x-5x+25

Simplifying the like terms gives us x^2-10x+25

Now we can simplify the original question by replacing each bracket with the values worked out

(3x+1)^2-(x-5)^2

9x^2+6x+1-(x^2-10x+25)

9x^2+6x+1-x^2+10x-25

8x^2+16x-24

User Scherand
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories