High School

Which expression is equal to [tex](3x-5)(2x-7)[/tex]?

A. [tex]6x^2 - 31x + 35[/tex]

B. [tex]5x^2 - 21x + 12[/tex]

C. [tex]6x^2 + 31x - 35[/tex]

D. [tex]6x^2 - 31x - 12[/tex]

Answer :

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

The first one

Answer:

[tex]6x^2-31x+35[/tex]

Step-by-step explanation:

Given expression,

[tex](3x-5)(2x-7)[/tex]

By using distributive property,

[tex](3x-5)(2x) - (3x - 5)(7)[/tex]

Again by distributive property,

[tex]3x(2x) - 5(2x) - 3x(7) + 5(7)[/tex]

[tex]6x^2 - 10x - 21x + 35[/tex]

[tex]6x^2-31x+35[/tex]

Hence, FIRST option is correct.

Other Questions