Exercise
$10y\left(\left(1+yx^2\right)^4+8yx^2\left(1+yx^2\right)^3\right)$
Step-by-step Solution
Learn how to solve problems step by step online. Expand the expression 10y((1+yx^2)^4+8yx^2(1+yx^2)^3). Solve the product 10y\left(\left(1+yx^2\right)^4+8yx^2\left(1+yx^2\right)^3\right). Multiplying polynomials y and 10\left(1+yx^2\right)^4+80yx^2\left(1+yx^2\right)^3. Expand the binomial \left(1+yx^2\right)^4. The power of a product is equal to the product of it's factors raised to the same power.
Expand the expression 10y((1+yx^2)^4+8yx^2(1+yx^2)^3)
Final answer to the exercise
$10y+120y^2x^2+300y^{3}x^{4}+280y^{4}x^{6}+90y^{5}x^{8}$