Exercise
$z^4\left(x+y\right)^2\left(y+1\right)^3+z^2\left(x+y\right)\left(y+1\right)$
Step-by-step Solution
Learn how to solve problems step by step online. Expand the expression z^4(x+y)^2(y+1)^3+z^2(x+y)(y+1). Multiply the single term z^2\left(y+1\right) by each term of the polynomial \left(x+y\right). Multiply the single term xz^2 by each term of the polynomial \left(y+1\right). Multiply the single term yz^2 by each term of the polynomial \left(y+1\right). When multiplying two powers that have the same base (y), you can add the exponents.
Expand the expression z^4(x+y)^2(y+1)^3+z^2(x+y)(y+1)
Final answer to the exercise
$y^3z^4x^{2}+3y^2z^4x^{2}+3yz^4x^{2}+z^4x^{2}+2y^{4}z^4x+6y^{3}z^4x+6y^2z^4x+2z^4xy+y^{5}z^4+3y^{4}z^4+3y^{3}z^4+z^4y^{2}+yxz^2+xz^2+y^2z^2+yz^2$