Question

Subtract:
$\left(ix\right)4x^2-5x^{2}y+y^2$ from $3y^2+5x{y}^2-7x^2-9x^{2}y$

Answer 1

Step: Find the value of $(3y^2+5x{y}^2-7x^2-9x^{2}y)–$$(4x^2-5x^{2}y+y^2)$
We need to subtract $(4x^2-5x^{2}y+y^2)$ from $(3y^2+5x{y}^2-7x^2-9x^{2}y)$ $=(3y^2+5x{y}^2-7x^2-9x^{2}y)-(4x^2-5x^{2}y+y^2)$ $=3y^2+5x{y}^2-7x^2-9x^{2}y-4x^2+5x^{2}y-y^2$ $=3y^2-y^2-7x^2-4x^2+5x{y}^2-9x^{2}y+5x^{2}y$ $=2y^2-11x^2+5x{y}^2-4x^{2}y$
Hence, the answer is $(2y^2-11x^2+5x{y}^2-4x^{2}y).$