What is expand U((1+a^2)(y^2-x^2)) ?

The solution to expand U((1+a^2)(y^2-x^2)) is Uy^2-Ux^2+a^2Uy^2-a^2Ux^2

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expand U((1+a^2)(y^2-x^2))

expand

U ((1 + a^{2}) (y^{2} - x^{2}))

U y^{2} - U x^{2} + a^{2} U y^{2} - a^{2} U x^{2}

Solution steps

U ((1 + a^{2}) (y^{2} - x^{2}))

Remove parentheses:

(a) = a

= U (1 + a^{2}) (y^{2} - x^{2})

Expand

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

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

Expand

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

= U y^{2} - U x^{2} + a^{2} U y^{2} - a^{2} U x^{2}

e^{\frac{x ^{2}}{2}} (x^{2} - 9)

(x + 2 x^{2}) (1 + 2 x + 1 + 3 x)

sec (x) (1 + tan (x))

E (x) (a x^{1} + b x^{2} = x^{2})

\frac{( 2 ( n + 1 ) ) !}{2 ^{n + 1} ( n + 1 ) ! ( n + 1 )}

What is expand U((1+a^2)(y^2-x^2)) ?
The solution to expand U((1+a^2)(y^2-x^2)) is Uy^2-Ux^2+a^2Uy^2-a^2Ux^2