Exercise
$\left(x+1\right)\left(x+3\right)^3\left(x+2\right)\left(x-2\right)^2$
Step-by-step Solution
Learn how to solve simplification of algebraic fractions problems step by step online. Solve the product (x+1)(x+3)^3(x+2)(x-2)^2. The product of two binomials of the form (x+a)(x+b) is equal to the product of the first terms of the binomials, plus the algebraic sum of the second terms by the common term of the binomials, plus the product of the second terms of the binomials. In other words: (x+a)(x+b)=x^2+(a+b)x+ab. Add the values 1 and 2. Multiply 1 times 2. Expand \left(x-2\right)^2.
Solve the product (x+1)(x+3)^3(x+2)(x-2)^2
Final answer to the exercise
$x^{7}+8x^{6}+12x^{5}-145x^3-50x^{4}+18x^2+324x+216$