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

The solution to expand (x^{a+1}+y^{x-2})^2 is x^{2(a+1)}+2x^{a+1}y^{x-2}+y^{2(x-2)}

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

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

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

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

Simplify

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

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

\frac{17}{9}

4 + (- 5)

\frac{40 \cdot 99}{55 \cdot 24}

4 \frac{1}{5}

(x + 4) (x + 10)

What is expand (x^{a+1}+y^{x-2})^2 ?
The solution to expand (x^{a+1}+y^{x-2})^2 is x^{2(a+1)}+2x^{a+1}y^{x-2}+y^{2(x-2)}