What is expand (x+2)(x+3)^3 ?

The solution to expand (x+2)(x+3)^3 is x^4+11x^3+45x^2+81x+54

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expand (x+2)(x+3)^3

expand

(x + 2) (x + 3)^{3}

x^{4} + 11 x^{3} + 45 x^{2} + 81 x + 54

Solution steps

(x + 2) (x + 3)^{3}

= (x + 3)^{3} (x + 2)

Expand

(x + 3)^{3} : x^{3} + 9 x^{2} + 27 x + 27

= (x^{3} + 9 x^{2} + 27 x + 27) (x + 2)

Distribute parentheses

= x^{3} x + x^{3} \cdot 2 + 9 x^{2} x + 9 x^{2} \cdot 2 + 27 xx + 27 x \cdot 2 + 27 x + 27 \cdot 2

Simplify

x^{3} x + x^{3} \cdot 2 + 9 x^{2} x + 9 x^{2} \cdot 2 + 27 xx + 27 x \cdot 2 + 27 x + 27 \cdot 2 : x^{4} + 11 x^{3} + 45 x^{2} + 81 x + 54

= x^{4} + 11 x^{3} + 45 x^{2} + 81 x + 54

(v) 6^{l o g_{6} (5)} + 3^{l o g_{9} (16)}

42.958 x 1 0^{- 3} - 1.87 x 1 0^{- 1}

(x^{2} - 3 x + 1)^{3}

2 \cdot x^{2} + 4 x + 6 - 2 x

f (x) 2 x - 8

What is expand (x+2)(x+3)^3 ?
The solution to expand (x+2)(x+3)^3 is x^4+11x^3+45x^2+81x+54