What is expand (x^2+9x+7)(3x^2+9x+5) ?

The solution to expand (x^2+9x+7)(3x^2+9x+5) is 3x^4+36x^3+107x^2+108x+35

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expand (x^2+9x+7)(3x^2+9x+5)

expand

(x^{2} + 9 x + 7) (3 x^{2} + 9 x + 5)

3 x^{4} + 36 x^{3} + 107 x^{2} + 108 x + 35

Solution steps

(x^{2} + 9 x + 7) (3 x^{2} + 9 x + 5)

Distribute parentheses

= x^{2} \cdot 3 x^{2} + x^{2} \cdot 9 x + x^{2} \cdot 5 + 9 x \cdot 3 x^{2} + 9 x \cdot 9 x + 9 x \cdot 5 + 7 \cdot 3 x^{2} + 7 \cdot 9 x + 7 \cdot 5

Simplify

x^{2} \cdot 3 x^{2} + x^{2} \cdot 9 x + x^{2} \cdot 5 + 9 x \cdot 3 x^{2} + 9 x \cdot 9 x + 9 x \cdot 5 + 7 \cdot 3 x^{2} + 7 \cdot 9 x + 7 \cdot 5 : 3 x^{4} + 36 x^{3} + 107 x^{2} + 108 x + 35

= 3 x^{4} + 36 x^{3} + 107 x^{2} + 108 x + 35

\frac{x}{2 x - 6} + \frac{x - 2}{x + 1}

3 (- 3 - x^{2})

4^{\circ} - 2 (6 - 2)

(3 \frac{7 x}{20})^{10}

- 1 - 10

What is expand (x^2+9x+7)(3x^2+9x+5) ?
The solution to expand (x^2+9x+7)(3x^2+9x+5) is 3x^4+36x^3+107x^2+108x+35