What is expand (x^2+4x+5)^2 ?

The solution to expand (x^2+4x+5)^2 is x^4+8x^3+26x^2+40x+25

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expand (x^2+4x+5)^2

expand

(x^{2} + 4 x + 5)^{2}

x^{4} + 8 x^{3} + 26 x^{2} + 40 x + 25

Solution steps

(x^{2} + 4 x + 5)^{2}

Apply exponent rule:

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

(x^{2} + 4 x + 5)^{2} = (x^{2} + 4 x + 5) (x^{2} + 4 x + 5)

= (x^{2} + 4 x + 5) (x^{2} + 4 x + 5)

Distribute parentheses

= x^{2} x^{2} + x^{2} \cdot 4 x + x^{2} \cdot 5 + 4 x x^{2} + 4 x \cdot 4 x + 4 x \cdot 5 + 5 x^{2} + 5 \cdot 4 x + 5 \cdot 5

Simplify

x^{2} x^{2} + x^{2} \cdot 4 x + x^{2} \cdot 5 + 4 x x^{2} + 4 x \cdot 4 x + 4 x \cdot 5 + 5 x^{2} + 5 \cdot 4 x + 5 \cdot 5 : x^{4} + 8 x^{3} + 26 x^{2} + 40 x + 25

= x^{4} + 8 x^{3} + 26 x^{2} + 40 x + 25

(x - 10)^{2}

(- 1.2)^{2}

lo g_{1.06} (2)

\frac{π}{4} + 1

\frac{n ^{4} - 81}{n ^{2} - 6 n + 9}

What is expand (x^2+4x+5)^2 ?
The solution to expand (x^2+4x+5)^2 is x^4+8x^3+26x^2+40x+25