Question

What is the product? (2 x minus 1)(x + 4)

Answer 1

(2x-1)(x+4)
2x^2 + 8x -x -4
Simplifies to
2x^2 + 7x - 4

Answer 2

The product of (2x - 1)(x + 4) = 2x² + 7x - 4.

What is algebraic expansion?

Algebraic expansion of an expression is referred to the removal of brackets ( ) without changing the value of the expression.

If we are given an expression (a + b)(c + d), to expand it, we multiply each term in the first ( ) with each term of the second ( ), that is, we multiply a to c, a to d, b to c, b to d, to get

(a + b)(c + d) = ac + ad + bc + bd.

How do we solve the given question?

We are asked about the product of (2x - 1)(x + 4). To find the product, we expand the given expression to get:

(2x - 1)(x + 4) = 2x*x + 2x*4 + (-1)*x + (-1)4

Simplifying this, we get

(2x - 1)(x + 4) = 2x² + 8x - x - 4

or, (2x - 1)(x + 4) = 2x² + 7x - 4.

∴ The product of (2x - 1)(x + 4) = 2x² + 7x - 4.

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