What is expand (x+1)(x+3)(x+5) ?

The solution to expand (x+1)(x+3)(x+5) is x^3+9x^2+23x+15

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expand (x+1)(x+3)(x+5)

expand

(x + 1) (x + 3) (x + 5)

x^{3} + 9 x^{2} + 23 x + 15

Solution steps

(x + 1) (x + 3) (x + 5)

Expand

(x + 1) (x + 3) (x + 5) : (x^{2} + 4 x + 3) (x + 5)

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

Distribute parentheses

= x^{2} x + x^{2} \cdot 5 + 4 xx + 4 x \cdot 5 + 3 x + 3 \cdot 5

Simplify

x^{2} x + x^{2} \cdot 5 + 4 xx + 4 x \cdot 5 + 3 x + 3 \cdot 5 : x^{3} + 9 x^{2} + 23 x + 15

= x^{3} + 9 x^{2} + 23 x + 15

\frac{x ^{2} - x - 12}{x - 4}

\frac{9}{16}

(3 a + 2 b) (3 a - 2 b)

1 - 25 a^{2} b^{2}

\frac{x ^{2} - 1}{x ^{2} - 2 x + 1}

What is expand (x+1)(x+3)(x+5) ?
The solution to expand (x+1)(x+3)(x+5) is x^3+9x^2+23x+15