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

The solution to expand (a^x+b^{x+1})^2 is a^{2x}+2a^xb^{x+1}+b^{2(x+1)}

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expand (a^x+b^{x+1})^2

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

(a^{x})^{2} + 2 a^{x} b^{x + 1} + (b^{x + 1})^{2} : a^{2 x} + 2 a^{x} b^{x + 1} + b^{2 (x + 1)}

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

(x - 2) (x + 6)

\frac{40}{5}

(p + q) 2

6 x

(x + 4) (x - 8)

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