Question

Subtract 7x^2−5xy+8y^2 from −2x^2−15xy+9y^2

Answer 1

Answer:

$y^2-10xy-9x^2$

Step-by-step explanation:

We want to subtract $7x^2 -5xy+8y^2$ from $-2x^2-15xy+9y^2$.

We set up the subtraction problem as follows:

$(-2x^2-15xy+9y^2)-(7x^2-5xy+8y^2)$.

We expand the brackets to obtain;

$=-2x^2-15xy+9y^2-7x^2+5xy-8y^2$.

We regroup the terms to obtain;

$=9y^2-8y^2-15xy+5xy-2x^2-7x^2$.

We now simplify to obtain;

$=y^2-10xy-9x^2$.