What is expand (x^2-2x-3)(x^2+6x+5) ?

The solution to expand (x^2-2x-3)(x^2+6x+5) is x^4+4x^3-10x^2-28x-15

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expand (x^2-2x-3)(x^2+6x+5)

expand

(x^{2} - 2 x - 3) (x^{2} + 6 x + 5)

x^{4} + 4 x^{3} - 10 x^{2} - 28 x - 15

Solution steps

(x^{2} - 2 x - 3) (x^{2} + 6 x + 5)

Distribute parentheses

= x^{2} x^{2} + x^{2} \cdot 6 x + x^{2} \cdot 5 - 2 x x^{2} - 2 x \cdot 6 x - 2 x \cdot 5 - 3 x^{2} - 3 \cdot 6 x - 3 \cdot 5

Simplify

x^{2} x^{2} + x^{2} \cdot 6 x + x^{2} \cdot 5 - 2 x x^{2} - 2 x \cdot 6 x - 2 x \cdot 5 - 3 x^{2} - 3 \cdot 6 x - 3 \cdot 5 : x^{4} + 4 x^{3} - 10 x^{2} - 28 x - 15

= x^{4} + 4 x^{3} - 10 x^{2} - 28 x - 15

20 - 2

\frac{( 7 ^{5} ) ^{8} \cdot 7 ^{7}}{7 ^{8} \cdot ( 7 ^{8} ) ^{5}}

\frac{5}{6} + \frac{2}{5}

\frac{sin ( 3 x )}{cos ( 3 x )}

\frac{7}{8} - \frac{3}{5}

What is expand (x^2-2x-3)(x^2+6x+5) ?
The solution to expand (x^2-2x-3)(x^2+6x+5) is x^4+4x^3-10x^2-28x-15