Question

Subtract the sum of 3x^2-2x+7 and 4x^2-x-12 FROM the sum of 5x+2x^2-6 and 3x^2-5

Answer 1

(5x+2x^2-6 + 3x^2-5) - (3x^2-2x+7 + 4x^2-x-12)

it looks messy right now, but start by combining like terms within the parentheses

Answer 2

Wait, why did you switch the order? Isn't it supposed to be

(3x^2-2x+7 + 4x^2-x-12) - (5x+2x^2-6 + 3x^2-5)

Answer 3

"subtracting A FROM B" means B - A

Answer 4

isn't it A - B ?

Answer 5

I know it's confusing, but that's the what the word "from" means when we're subtracting

Answer 6

okay

Answer 7

"I want to take away 3 from 5" means 5 - 3, agreed?

Answer 8

ohh okay i see

Answer 9

good, so start by combining like terms

Answer 10

just focus on the first parentheses part

(3x^2-2x+7 + 4x^2-x-12)

we can combine the x^2 terms and the x terms together

Answer 11

5x+2x^2-6+3x^2-5
=2x^2+3x^2+5x-6-5
=5x^2+5x-11

Answer 12

good, now leave that alone and work on the second part

Answer 13

3x^2-2x+7+4x^2-x-12
=3x^2+4x^2-2x-x+7-12
=7x^2-3x-5

Answer 14

good.

that gives us

(5x^2+5x-11) - (7x^2-3x-5)

now distribute the negative sign in the middle of the two parentheses

Answer 15

(5x^2+5x-11) - (7x^2-3x-5)
=5x^2+5x-11-7x^2-3x-5
=5x^2-7x^2+5x-3x-11-5
=-2x^2+2x-16

Answer 16

not quite

Answer 17

because of the negative sign, each sign in the second parentheses switches

Answer 18

(5x^2+5x-11) - (7x^2-3x-5)
= (5x^2+5x-11) - 7x^2 + 3x + 5

Answer 19

(this is part of the distributive property)

Answer 20

alright so...
(5x^2+5x-11) - 7x^2 + 3x + 5
=5x^2-7x^2+5x+3x-11+5
=-2x^2+8x-6

Answer 21

good

Answer 22

thank you