Question

Expand and simplify the expression (5x - 4) (3x + 2)

Answer 1

`\hookrightarrow15x^2-2x-8`

Explanation:

In order to simplify this, we are going to use a technique called FOIL.

FOIL stands for :

• first
• outside
• inside
• last

We're asked to evaluate :
`\sf{(5x-4)(3x+2)}`.

---

Multiply 5x times 3x: 15x²

Multiply 5x times 2 : 10x

Multiply -4 times 3x : -12x

Multiply -4 times 2 : 15

`\hookrightarrow 15x^2+10x-12x-8`

`\hookrightarrow15x^2-2x-8`

Answer 2

• 15x² - 2x - 8

Explanation:

Given equation,

(5x - 4) (3x + 2)

We can simplify the given expression by using the FOIL method,

Multiply first two terms

`\sf 5x * 3x = 15x^2`

Multiply outside two terms

`\sf 5x * 2 = 10x`

Multiply inner two terms

`\sf -4 * 3x = - 12x`

Multiply last two terms

`\sf -4 * 2 = - 8`

Add all the products

`\sf 15x^2 + 10x +(- 12x) + (- 8)`

`\sf 15x^2 + 10x - 12x - 8`

`{\boxed{\sf{ 15x^2 - 2x - 8 }}}`