What is expand (5x^2-3)(x^2+x+4) ?

The solution to expand (5x^2-3)(x^2+x+4) is 5x^4+5x^3+17x^2-3x-12

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expand (5x^2-3)(x^2+x+4)

expand

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

5 x^{4} + 5 x^{3} + 17 x^{2} - 3 x - 12

Solution steps

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

Distribute parentheses

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

Simplify

5 x^{2} x^{2} + 5 x^{2} x + 5 x^{2} \cdot 4 - 3 x^{2} - 3 x - 3 \cdot 4 : 5 x^{4} + 5 x^{3} + 17 x^{2} - 3 x - 12

= 5 x^{4} + 5 x^{3} + 17 x^{2} - 3 x - 12

(\frac{5}{6} + \frac{1}{2})^{2}

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

\frac{m}{\frac{m}{s}}

3 (4 a + 9) - 10 (a - 6)

\frac{( 5 x - 3 ) ^{6}}{( 5 x - 3 ) ^{4}}

What is expand (5x^2-3)(x^2+x+4) ?
The solution to expand (5x^2-3)(x^2+x+4) is 5x^4+5x^3+17x^2-3x-12