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

The solution to 5-(3x^2-2x)(6-3x^2+2x) is 5+9x^4-12x^3-14x^2+12x

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

simplify

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

5 + 9 x^{4} - 12 x^{3} - 14 x^{2} + 12 x

Solution steps

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

Distribute parentheses

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

Simplify

3 x^{2} \cdot 6 + 3 x^{2} (- 3 x^{2}) + 3 x^{2} \cdot 2 x - 2 x \cdot 6 - 2 x (- 3 x^{2}) - 2 x \cdot 2 x : - 9 x^{4} + 12 x^{3} + 14 x^{2} - 12 x

= 5 - (- 9 x^{4} + 12 x^{3} + 14 x^{2} - 12 x)

Apply the distributive law:

- (- a + b) = a - b

- (- 9 x^{4} + 12 x^{3} + 14 x^{2} - 12 x) = 9 x^{4} - 12 x^{3} - 14 x^{2} + 12 x

= 5 + 9 x^{4} - 12 x^{3} - 14 x^{2} + 12 x

- 2 x^{35} f^{5} - 316

a^{3} \cdot x - a^{2} \cdot y

\frac{( 25 x ^{2} - 1 )}{( 25 x ^{2} - 10 x + 1 )}

(i) 3 x^{2} + 6 x - 24

10 x - 3 (\frac{3 x}{4})

What is 5-(3x^2-2x)(6-3x^2+2x) ?
The solution to 5-(3x^2-2x)(6-3x^2+2x) is 5+9x^4-12x^3-14x^2+12x