Exercise
$\left(2x+3\right)^2-\left(2x-3\right)^2+\left(3x-4\right)^2-8x^2+16$
Step-by-step Solution
Learn how to solve special products problems step by step online. Reduce like terms (2x+3)^2-(2x-3)^2(3x-4)^2-8x^2+16. A binomial squared (difference) is equal to the square of the first term, minus the double product of the first by the second, plus the square of the second term. In other words: (a-b)^2=a^2-2ab+b^2. The power of a product is equal to the product of it's factors raised to the same power. Simplify the product -(4x^2-12x+9). Simplify the product -(-12x+9).
Reduce like terms (2x+3)^2-(2x-3)^2(3x-4)^2-8x^2+16
Final answer to the exercise
$\left(2x+3\right)^2-12x^2+12x+7+\left(3x-4\right)^2$