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

The solution to expand (a^2+5a+4)^2 is a^4+10a^3+33a^2+40a+16

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

expand

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

a^{4} + 10 a^{3} + 33 a^{2} + 40 a + 16

Solution steps

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

Apply exponent rule:

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

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

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

Distribute parentheses

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

Simplify

a^{2} a^{2} + a^{2} \cdot 5 a + a^{2} \cdot 4 + 5 a a^{2} + 5 a \cdot 5 a + 5 a \cdot 4 + 4 a^{2} + 4 \cdot 5 a + 4 \cdot 4 : a^{4} + 10 a^{3} + 33 a^{2} + 40 a + 16

= a^{4} + 10 a^{3} + 33 a^{2} + 40 a + 16

2 x - 4 y + 6 + 3 x - 9 y - 4

\frac{1}{x + y + 3} - \frac{1}{x + 3}

\frac{1}{3} \cdot x

[(- 2)^{2}]^{4}

0 + (- 6)

What is expand (a^2+5a+4)^2 ?
The solution to expand (a^2+5a+4)^2 is a^4+10a^3+33a^2+40a+16