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Popular >

simplify (3/2 x-1)(2x-2)

Solution

simplify

(\frac{3}{2} x - 1) (2 x - 2)

Solution

3 x^{2} - 5 x + 2

Solution steps

(\frac{3}{2} x - 1) (2 x - 2)

Multiply

\frac{3}{2} x : \frac{3 x}{2}

= (\frac{3 x}{2} - 1) (2 x - 2)

Apply FOIL method:

(a + b) (c + d) = a c + a d + b c + b d

a = \frac{3 x}{2}, b = - 1, c = 2 x, d = - 2

= \frac{3 x}{2} \cdot 2 x + \frac{3 x}{2} (- 2) + (- 1) \cdot 2 x + (- 1) (- 2)

Apply minus-plus rules

+ (- a) = - a, (- a) (- b) = ab

= 2 \cdot \frac{3 x}{2} x - 2 \cdot \frac{3 x}{2} - 1 \cdot 2 x + 1 \cdot 2

Simplify

2 \cdot \frac{3 x}{2} x - 2 \cdot \frac{3 x}{2} - 1 \cdot 2 x + 1 \cdot 2 : 3 x^{2} - 5 x + 2

= 3 x^{2} - 5 x + 2

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Frequently Asked Questions (FAQ)

What is (3/2 x-1)(2x-2) ?
The solution to (3/2 x-1)(2x-2) is 3x^2-5x+2