What is expand ,(x^2)(x+y)(x-y) ?

The solution to expand ,(x^2)(x+y)(x-y) is x^4-x^2y^2

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expand ,(x^2)(x+y)(x-y)

expand

(x^{2}) (x + y) (x - y)

x^{4} - x^{2} y^{2}

Solution steps

(x^{2}) (x + y) (x - y)

Apply rule:

(a) = a

(x^{2}) = x^{2}

= x^{2} (x + y) (x - y)

Apply Difference of Two Squares

(x + y) (x - y) : x^{2} - y^{2}

= x^{2} (x^{2} - y^{2})

Apply the distributive law:

a (b - c) = ab - a c

x^{2} (x^{2} - y^{2}) = x^{2} x^{2} - x^{2} y^{2}

= x^{2} x^{2} - x^{2} y^{2}

Simplify

x^{2} x^{2} : x^{4}

= x^{4} - x^{2} y^{2}

A (- 4, - 3)

\frac{1}{( x - 1 ) ^{2} ( x - 2 )}

\frac{10}{s ( s + 1 ) ( s + 2 ) ^{2}}

\frac{x ^{2} ( x - 3 )}{( x - 1 ) ^{3}}

\frac{x + 1}{x ( x ^{2} + 1 )}

What is expand ,(x^2)(x+y)(x-y) ?
The solution to expand ,(x^2)(x+y)(x-y) is x^4-x^2y^2