Question

(-4x^4+5x^3-x^2+1)+(2x^4-7x^3+6x^2+2x) Answer in standard form

Answer 1

Answer by Distributing Like Terms: $-4x^4+5x^3-x^2+1+2x^4-7x^3+6x^2+2x$

$=-4x^4+5x^3+-x^2+1+2x^4+-7x^3+6x^2+2x$

Combine Like Terms:

$=-4x^4+5x^3+-x^2+1+2x^4+-7x^3+6x^2+2x\\=(-4x^4+2x^4)+(5x^3+-7x^3)+(-x^2+6x^2)+(2x)+(1)\\\=-2x^4+-2x^3+5x^2+2x+1$

Answer: =−2x^4−2x^3+5x^2+2x+1

Formula rewritten in standard form: $-2x^{2} -2x^{3}+5x^{2} +2x+1$