What is the result of (3x+2)(2x-1)?
To find the result of the expression (3x+2)(2x-1), you need to use the distributive property of multiplication.
Step 1: Multiply the first terms of each binomial.
(3x)(2x) = 6x^2
Step 2: Multiply the outer terms of each binomial.
(3x)(-1) = -3x
Step 3: Multiply the inner terms of each binomial.
(2)(2x) = 4x
Step 4: Multiply the last terms of each binomial.
(2)(-1) = -2
Step 5: Combine the results of all the multiplications.
6x^2 - 3x + 4x - 2
Step 6: Simplify the expression by combining like terms.
6x^2 + x - 2
Thus, the result of (3x+2)(2x-1) is 6x^2 + x - 2.
To find the result of multiplying (3x+2)(2x-1), you can use the distributive property.
Step 1: Multiply the first terms of each binomial.
(3x)(2x) = 6x^2
Step 2: Multiply the outer terms of each binomial.
(3x)(-1) = -3x
Step 3: Multiply the inner terms of each binomial.
(2)(2x) = 4x
Step 4: Multiply the last terms of each binomial.
(2)(-1) = -2
Step 5: Combine the results from steps 1 to 4.
6x^2 - 3x + 4x - 2
Step 6: Simplify the combined terms.
The result is 6x^2 + x - 2.