What is expand (x^2+2x+5)^2 ?

The solution to expand (x^2+2x+5)^2 is x^4+4x^3+14x^2+20x+25

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expand (x^2+2x+5)^2

expand

(x^{2} + 2 x + 5)^{2}

x^{4} + 4 x^{3} + 14 x^{2} + 20 x + 25

Solution steps

(x^{2} + 2 x + 5)^{2}

Apply exponent rule:

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

(x^{2} + 2 x + 5)^{2} = (x^{2} + 2 x + 5) (x^{2} + 2 x + 5)

= (x^{2} + 2 x + 5) (x^{2} + 2 x + 5)

Distribute parentheses

= x^{2} x^{2} + x^{2} \cdot 2 x + x^{2} \cdot 5 + 2 x x^{2} + 2 x \cdot 2 x + 2 x \cdot 5 + 5 x^{2} + 5 \cdot 2 x + 5 \cdot 5

Simplify

x^{2} x^{2} + x^{2} \cdot 2 x + x^{2} \cdot 5 + 2 x x^{2} + 2 x \cdot 2 x + 2 x \cdot 5 + 5 x^{2} + 5 \cdot 2 x + 5 \cdot 5 : x^{4} + 4 x^{3} + 14 x^{2} + 20 x + 25

= x^{4} + 4 x^{3} + 14 x^{2} + 20 x + 25

\frac{x ^{2} + 3 x - 4}{x ^{2} + 6 x + 8}

lo g_{3} (\frac{1}{3 ^{2}})

\frac{4 a + 8 b}{12}

(2 x^{3}) (- 5 x^{2})

What is expand (x^2+2x+5)^2 ?
The solution to expand (x^2+2x+5)^2 is x^4+4x^3+14x^2+20x+25