40.5k views
1 vote
(X-2)(3x-4) simplify

User Andy Ford
by
6.5k points

2 Answers

1 vote

Answer:
3x^2-10x+8

Explanation:

Given the expression
(x-2)(3x-4), you can apply Distributive property to simplify it. But first, you must remember the multiplication of signs:


(+)(+)=+\\(-)(-)=+\\(-)(+)=-

Then:


(x-2)(3x-4)=(x)(3x)+(x)(-4)+(-2)(3x)+(-2)(-4)=3x^2-4x-6x+8

The final step is to add the like terms. Therefore, you get:


3x^2-10x+8

User Tdimeco
by
6.5k points
4 votes

Answer:

3x²-10x+8

Explanation:

To simplify the expression we need to multiply each term in the first bracket with the expression in the second bracket.

x(3x-4)-2(3x-4)

3x²-4x-6x+8

Executing the operations to give a quadratic expression we get:

3x²-10x+8

The simplified expression is therefore

3x²-10x+8

User Slezadav
by
6.3k points