Respuesta :

Answer  (2x + 7) • (x2 - 2)

Step-by-step explanation:

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Step by step solution :

Step  1  :

Trying to factor as a Difference of Squares :

1.1      Factoring:  x2-2

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check : 2 is not a square !!

Ruling : Binomial can not be factored as the difference of two perfect squares.

Final result :

 (2x + 7) • (x2 - 2)

Answer:

2x^3+7x^2-4x-14

Step-by-step explanation:

It's a long step of distributing across the problem.

2x times x^2 is 2x^3 since exponents work through addition.

7 times x^2 is 7x^2 much like the the first part.

2x times -2 is negative 4x.

7 times -2 is negative 14.

Simply distributing is all you need to do.

I hope this helps! ^.^