Question

Which expression is equal to (3x−5)(2x−7)?

6x2−31x+35

5x2−21x+12

6x2+31x−35

6x2−31x−12

Answer 1

(3x-5)(2x-7)
6x^2 - 21 x -10x +35
6x^2 -31x +35

The first one

Answer 2

`6x^2-31x+35`

Explanation:

Given expression,

`(3x-5)(2x-7)`

By using distributive property,

`(3x-5)(2x) - (3x - 5)(7)`

Again by distributive property,

`3x(2x) - 5(2x) - 3x(7) + 5(7)`

`6x^2 - 10x - 21x + 35`

`6x^2-31x+35`

Hence, FIRST option is correct.