8x2 + 2x – 3
This is a polynomial expression in standard form.
(4 x + 3)(2 x - 1)
To multiply this expression, we use the distributive property:
(4x + 3)(2x - 1) = 4x(2x) + 4x(-1) + 3(2x) + 3(-1)
= 8x^2 - 4x + 6x - 3
= 8x^2 + 2x - 3
Therefore, (4x + 3)(2x - 1) simplifies to 8x^2 + 2x - 3.
To simplify the expression 8x^2 + 2x - 3, we can follow these steps:
Step 1: Combine like terms.
In the expression, the terms 8x^2 and 2x are both terms with an x. We can combine them by adding their coefficients.
Step 2: Simplify the coefficients.
The coefficient of x^2 is 8, the coefficient of x is 2, and the constant term is -3.
So, the simplified expression is 8x^2 + 2x - 3.