What is expand 5x^2(x+2)(x+3)(x-2) ?

The solution to expand 5x^2(x+2)(x+3)(x-2) is 5x^5+15x^4-20x^3-60x^2

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expand 5x^2(x+2)(x+3)(x-2)

expand

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

5 x^{5} + 15 x^{4} - 20 x^{3} - 60 x^{2}

Solution steps

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

Expand

5 x^{2} (x + 2) (x + 3) (x - 2) : 5 x^{2} (x^{2} - 4) (x + 3)

= 5 x^{2} (x^{2} - 4) (x + 3)

Apply FOIL method

(x^{2} - 4) (x + 3) : x^{3} + 3 x^{2} - 4 x - 12

= 5 x^{2} (x^{3} + 3 x^{2} - 4 x - 12)

Distribute parentheses

= 5 x^{2} x^{3} + 5 x^{2} \cdot 3 x^{2} + 5 x^{2} (- 4 x) + 5 x^{2} (- 12)

Simplify

5 x^{2} x^{3} + 5 x^{2} \cdot 3 x^{2} + 5 x^{2} (- 4 x) + 5 x^{2} (- 12) : 5 x^{5} + 15 x^{4} - 20 x^{3} - 60 x^{2}

= 5 x^{5} + 15 x^{4} - 20 x^{3} - 60 x^{2}

m^{4} + 4 m^{2} n^{2} + 16 n^{4}

f (x) - \frac{2}{2032}

(6 x - 6 y - 7) (6 x - 2 y - 3) (3 x + 6 y + 5)

\frac{( 1 + y - 1 - y )}{y}

(x^{3} \cdot y)^{2}

What is expand 5x^2(x+2)(x+3)(x-2) ?
The solution to expand 5x^2(x+2)(x+3)(x-2) is 5x^5+15x^4-20x^3-60x^2