Question

(x+3)(4x-5)
Explain me how to calculate this

Answer 1

4x² + 7x - 15

Explanation:

To calculate the expression ( x + 3 ) ( 4x - 5 ), you can use the distributive property of multiplication over addition/subtraction.

• Start by multiplying the first terms of each binomial: ( x ) ( 4x ) = 4x²

• Next, multiply the outer terms: ( x ) ( -5 ) = -5x
• Then, multiply the inner terms: ( 3 ) ( 4x ) = 12x
• Finally, multiply the last terms: ( 3 ) ( -5 ) = -15

Now, you can combine the results:

( x + 3 ) ( 4x - 5 ) = 4x² - 5x + 12x - 15

Combine the like terms:

4x² + 7x - 15