Question

X = 7W? + 4w - 6 Y =w2 - 11w +13 X-Y Your answer should be a polynomial in standard fom.

Answer 1

Answer: $w^2-22w+19$

Step-by-step explanation:

$X=7w+4w-6\\Y=w^2-11w+13$

$(7w+4w-6)-(w^2-11w+13)\\7w+4w-6-w^2+11w-13\\(7w+4w+11w)+(-6-13)-w^2\\22w-19-w^2\\-w^2+22w-19$

Normally we wouldn't have our square variable be negative, so in order to get rid of that negative sign without changing the equation is by multiplying by -1

$-1(-w^2+22w-19)\\=w^2-22w+19$