What is expand (x+9)(4x^2+5x+6) ?

The solution to expand (x+9)(4x^2+5x+6) is 4x^3+41x^2+51x+54

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expand (x+9)(4x^2+5x+6)

expand

(x + 9) (4 x^{2} + 5 x + 6)

4 x^{3} + 41 x^{2} + 51 x + 54

Solution steps

(x + 9) (4 x^{2} + 5 x + 6)

Distribute parentheses

= x \cdot 4 x^{2} + x \cdot 5 x + x \cdot 6 + 9 \cdot 4 x^{2} + 9 \cdot 5 x + 9 \cdot 6

Simplify

x \cdot 4 x^{2} + x \cdot 5 x + x \cdot 6 + 9 \cdot 4 x^{2} + 9 \cdot 5 x + 9 \cdot 6 : 4 x^{3} + 41 x^{2} + 51 x + 54

= 4 x^{3} + 41 x^{2} + 51 x + 54

\frac{345}{180}

(3 m n^{2})^{4}

\frac{432}{54}

\frac{( x ^{5} y ^{3} z ^{- 2} ) ^{3}}{( x ^{3} y ^{2} z ^{5} ) ^{2}}

What is expand (x+9)(4x^2+5x+6) ?
The solution to expand (x+9)(4x^2+5x+6) is 4x^3+41x^2+51x+54