Question

Simplify: (5x2 + 3x + 4) − (5x2 + 5x − 1)

8x + 5
−2x + 5
10x2 + 8x + 3
10x2 − 2x + 3

Answer 1

What do you think?

Have you tried??

Answer 2

\[(5x^2 + 3x + 4) − (5x^2 + 5x − 1)\]

Answer 3

I got -2x+5

Answer 4

Firstly you should know :

-(+) = -
-(-) = +

Answer 5

Subtracting polynomials is like subtracting real numbers.

To subtract a real number you add the opposite of that number.

To subtract a polynomial you add the opposite of each term of that polynomial,
and then simplify.

Answer 6

Ok

Answer 7

your answer is right @kaylamarie081 :)

Answer 8

We will open second brackets by multiplying -ve sign with it..

So:

\(-(5x^2 + 5x - 1) = -5x^2 - 5x + 1\)

Answer 9

Thank you

Answer 10

You should note how +5x changes to -5x and how -1 changes to +1..

Answer 11

Thanks for asking :)

Answer 12

$$\Huge -(a+b)=(-a)+(-b)$$

Answer 13

To find the opposite of a sum or difference you change the sign of each term of the sum or difference.

Answer 14

This is just a special case of the distributive property with a = -1.
$$-1(a+b)=-1a+(-1)b$$

Answer 15

where we know -1a = -a