Question

Subtract x^2+4xy−3y^2 from 2x^2−5xy+y^2.

Answer 1

`x^2-9xy+4y^2`

Explanation:

I don't have much in the way of written explanation, let's just get to the math:

`2x^2-5xy+y^2-(x^2+4xy-3y^2)\\2x^2-5xy+y^2-x^2-4xy+3y^2\\2x^2-x^2-5xy-4xy+y^2+3y^2\\(2x^2-x^2)-(5xy+4xy)+(y^2+3y^2)\\(x^2)-(9xy)+(4y^2)\\x^2-9xy+4y^2`

Hope this helps.