How do you Subtract (−16x2−19x−10) from (−18x2−13x−14)?

2 Answers
Don H.
May 2, 2018

"Subtract A from B" is the same as "Find B - A". First, you need to distribute the negative though the terms of the A part, then combine the results for like terms (terms of the same power of x).

Explanation:

(−18x2−13x−14)−(−16x2−19x−10)=
(−18x2−13x−14)+(16x2+19x+10)=
(−18x2+16x2)+(−13x+19x)+(−14+10)=
−2x2+6x−4

Mansi
May 2, 2018

−2x2+6x−4

Explanation:

Subtracting ( −16x2−19x−10 ) from ( −18x2−13x−14 ) is same as subtracting 5 from 49. (I just mean any two real numbers).

We do something like this:
=49-5
=44

Similarly, we do the subtraction of polynomials but only between numbers with same coefficients.

We'll start like this:

= (−18x2−13x−14)−(−16x2−19x−10)
= −18x2−13x−14+16x2+19x+10
= (−18+16)x2+(−13+19)x+(−14+10)
= −2x2+6x−4

HAPPY LEARNING !!

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