Question

Multiply. (7x+3)(4x−5) Enter your answer, in standard form, in the box.

Answer 1

(7x+3) x (4x-5)

7x*4x = 28x^2

7x*-5 = -35x

3+4x = 12x

3*-5 = -15

so you get 28x^2 -23x -15

Answer 2

Answer: The required multiplied expression is
`28x^2-23x-15.`

Step-by-step explanation: We are given to multiply the following linear factors and write the answer is standard form :

`M=(7x+3)(4x-5)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

We will be using the following distributive property :

`(a+b)(c+d)=a(c+d)+b(c+d).`

From (i), we get

`M\\\\=(7x+3)(4x-5)\\\\=7x(4x-5)+3(4x-5)\\\\=28x^2-35x+12x-15\\\\=28x^2-23x-15.`

Thus, the required multiplied expression is
`28x^2-23x-15.`