Exercise
$\left(2\right)-4x\left(cx+c^2\right)\left(2cx+2c^2\right)+8\left(cx+c^2\right)^2$
Step-by-step Solution
Learn how to solve simplification of algebraic expressions problems step by step online. Expand the expression 2-4x(cx+c^2)(2cx+2c^2)8(cx+c^2)^2. Multiply the single term -4x\left(2cx+2c^2\right) by each term of the polynomial \left(cx+c^2\right). When multiplying two powers that have the same base (x), you can add the exponents. Multiply the single term -4cx^2 by each term of the polynomial \left(2cx+2c^2\right). When multiplying exponents with same base you can add the exponents: -8cxcx^2.
Expand the expression 2-4x(cx+c^2)(2cx+2c^2)8(cx+c^2)^2
Final answer to the exercise
$2-8c^2x^{3}-16c^{3}x^2-8c^{4}x+8c^{2}x^{2}+16c^{3}x+8c^{4}$