Question

Find the product of (4x − 3)(x + 2). 4x2 + 5x − 6 4x2 − 5x − 6 4x2 + 11x − 6 4x2 − 11x − 6

Answer 1

4x^2 + 5x -6

Hello :)

Step-by-step explanation -

Our task is to simplify 4x − 3)(x + 2).

I am going to use a technique called FOIL.

FOIL = First, Outer, Inner, Last

Multiplying the first terms gives us:
`\sf{4x*x=4x^2}`

Multiplying the outer terms gives us
`\sf{4x*2=8x}`.

Multiplying the inner terms gives us
`\sf{-3*x=-3x}`

Multiplying the last terms gives us:
`\sf{-3*2=-6}`

We have:
`\sf{4x^2+8x-3x-6}`

Combine like terms:
`\sf{4x^2+5x-6}`

Answer 2

Product of (4x - 3)(x + 2) = 4x^2 + 5x - 6

Explanation:

We can find the product of (4x - 3)(x + 2) using the FOIL method, where:

• F refers to the product of the first terms in the parentheses (i.e., 4x and x),
• O refers to the product of the outer terms (i.e., 4x and 2),
• I refers to the product of the inner terms (i.e., -3 and x),
• and L refers to the last terms( i.e., -3 and 2).

We do all the multiplication and combine like terms to find the product of (4x - 3)(x + 2):

(4x * x) + (4x * 2) + (-3 * x) + (-3 * 2)

4x^2 + 8x - 3x - 6

4x^2 + 5x - 6

Thus, the product of (4x - 3)(x + 2) is 4x^2 + 5x - 6.