How do you subtract #(- 3x^{2} + 6x - 1) - ( - 5x^{2} + 4x + 2)#?

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Answer 1 · 2016-09-16T09:53:12

#2 x^(2) + 2 x - 3#

We have: #(- 3 x^(2) + 6 x - 1) - (- 5 x^(2) + 4 x + 2)#

#= - 3 x^(2) + 6 x - 1 + 5 x^(2) - 4 x - 2#

Let's group the like terms:

#= (- 3 + 5) x^(2) + (6 - 4) x + (- 1 - 2)#

#= 2 x^(2) + 2 x - 3#

Answer 2 · 2016-09-16T09:53:46

#2x^2+2x-3#

Subtracting a number or expression is the same as adding on its inverse.

The effect of the minus sign in front of the bracket is to change the signs in the bracket.

#(- 3x^2 + 6x - 1) color(blue)(- ( - 5x^2 + 4x + 2))#

=#- 3x^2 + 6x - 1 + color(blue)( 5x^2 - 4x - 2)" "larr# collect like terms.

= #2x^2+2x-3#