Question

Evaluate (4×+4)(7×-3)

Answer 1

`28x^(2) +16x-12`

Explanation:

`(4x+4)(7x+3)`

Apply FOIL method:
`(a+b)(c+d)=ac+ad+bc+bd`

`a=4x,b=4,c=7x,d=-3`

`=4x*7x+4x(-3)+4*7+4(-3)`

Apply minus - plus rules

`+(-a)=-a`

`=4*7xx-4*3x+4*7-4*3`

Simplify
`4*7xx-4*3x+4*7-4*3`

`4*7xx`

Multiply the numbers:
`4*7=28`

Apply exponent rule:
`a^(b) *a^(c) =a^(b+c)`

`xx=x^(1+1)`

`=28x^(1+1)`

Add the numbers:
`1+1=2`

`=28x^(2)`

`4*3x`

Multiply the numbers:
`4*3=12`

`=12x`

`4*7x`

Multiply the numbers:
`4*7=28`

`=28x`

`4*3`

Multiply the numbers:
`4*3=12`

`=12`

`=28x^(2) -12x+28x-12`

Add similar elements:
`-12x+28x=16x`

`=28x^(2) +16x-12`

`28x^(2) +16x-12`