Exercise
$\left(4y^2+x^2-2xy\right)\left(x^4-16y^4-8xy+2x^3y\right)$
Step-by-step Solution
Learn how to solve combining like terms problems step by step online. Expand the expression (4y^2+x^2-2xy)(x^4-16y^4-8xy2x^3y). Multiply the single term x^4-16y^4-8xy+2x^3y by each term of the polynomial \left(4y^2+x^2-2xy\right). Multiply the single term 4y^2 by each term of the polynomial \left(x^4-16y^4-8xy+2x^3y\right). When multiplying exponents with same base we can add the exponents. When multiplying exponents with same base you can add the exponents: -32xy\cdot y^2.
Expand the expression (4y^2+x^2-2xy)(x^4-16y^4-8xy2x^3y)
Final answer to the exercise
$-64y^{6}-32xy^{3}+8x^3y^{3}+x^{6}-16y^4x^2-8x^{3}y+32y^{5}x+16x^2y^2$