Question

Expand and simplify (6x – 1)(3x – 2)

Answer 1

The simplified expression is $\bold{18x^2 -15x + 2}$.

Step-by-step explanation:

We are given an expression of the form:

$(6x-1)(3x-2)$

We have to expand and simplify the the given expression.

We can use the algebraic identity:

$(a+b)(c+d) = ab + ad + bc + bd$

Using the above identity, we get:

$(6x-1)(3x-2)\\= (6x)(3x) + (6x)(-2) + (-1)(3x) + (-1)(-2)\\= 18x^2 - 12x -3x +2\\= 18x^2 -15x + 2$

The simplified expression is $\bold{18x^2 -15x + 2}$.