What is expand (a+h+sqrt(a+h))^2 ?

The solution to expand (a+h+sqrt(a+h))^2 is a^2+h^2+2ah+2asqrt(a+h)+2hsqrt(a+h)+a+h

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expand (a+h+sqrt(a+h))^2

expand

(a + h + a + h)^{2}

a^{2} + h^{2} + 2 ah + 2 a a + h + 2 h a + h + a + h

Solution steps

(a + h + a + h)^{2}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

(a + h + a + h)^{2} = (a + h + a + h) (a + h + a + h)

= (a + h + a + h) (a + h + a + h)

Distribute parentheses

= aa + ah + a a + h + ha + hh + h a + h + a + h a + a + h h + a + h a + h

Simplify

aa + ah + a a + h + ha + hh + h a + h + a + h a + a + h h + a + h a + h : a^{2} + h^{2} + 2 ah + 2 a a + h + 2 h a + h + a + h

= a^{2} + h^{2} + 2 ah + 2 a a + h + 2 h a + h + a + h

\frac{x ^{2} - 11 x + 6}{( x + 2 ) ( x ^{2} - 4 x + 4 )}

A (- 2, - 3) B (- 2, 3)

(s + 16 + 9 i) (s + 16 - 9 i)

\frac{\partial}{\partial x} (2 x) + 3 y^{2} (1 + x)^{2}

(x - 9 + 1)^{2}

What is expand (a+h+sqrt(a+h))^2 ?
The solution to expand (a+h+sqrt(a+h))^2 is a^2+h^2+2ah+2asqrt(a+h)+2hsqrt(a+h)+a+h