Exercise
$\left(x^2+y^2-xy\right)\left(x^2-y^2-xy\right)$
Step-by-step Solution
Learn how to solve special products problems step by step online. Simplify the product of conjugate binomials (x^2+y^2-xy)(x^2-y^2-xy). The sum of two terms multiplied by their difference is equal to the square of the first term minus the square of the second term. In other words: (a+b)(a-b)=a^2-b^2.. Simplify \left(x^2\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals 2. Factor the polynomial \left(y^2-xy\right) by it's greatest common factor (GCF): y. The power of a product is equal to the product of it's factors raised to the same power.
Simplify the product of conjugate binomials (x^2+y^2-xy)(x^2-y^2-xy)
Final answer to the exercise
$x^{4}-y^{4}+2y^{3}x-x^2y^2$