Question

Find the product

(2x+5) by (4x-3)​

Answer 1

Answer: 8x^2 + 14x - 15

Step-by-step explanation:

We need to bring every term into the other bracket, that is,

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

$8x^{2} - 6x + 20x - 15$

$= 8x^{2} + 14x - 15$

Answer 2

Given,

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

• By using distribution property of multiplication to solve the given expression
• Distribution property of multiplication: It states that multiplying two factors together gives the same result as breaking one factor up into two addends, multiplying both addends with the remaining factors, then adding both products together.

Now,

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

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

$=8x^{2} -6x+20x-15$

$=8x^{2} +14x-15$

Therefore, the answer is $8x^{2} +14x-15$.