auskunftsgkp

2022-01-31

How do you Subtract $\left(-16{x}^{2}-19x-10\right)$ from $\left(-18{x}^{2}-13x-14\right)$?

Expert

"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:
$\left(-18{x}^{2}-13x-14\right)-\left(-16{x}^{2}-19x-10\right)$
$\left(-18{x}^{2}-13x-14\right)+\left(16{x}^{2}+19x+10\right)$
$\left(-18{x}^{2}+16{x}^{2}\right)+\left(-13x+19x\right)+\left(-14+10\right)=$
$-2{x}^{2}+6x-4$

supletiv2i4

Expert

Explanation:
Subtracting $\left(-16{x}^{2}-19x-10\right)$ from $\left(-18{x}^{2}-13x-14\right)$ 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.
Well

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