Question

$10x ^{2} + 15y {}^{2}$
​

Answer 1

Answer:

(10 • (x2)) -  (3•5y2)

STEP  

2

:

Equation at the end of step

2

:

 (2•5x2) -  (3•5y2)

STEP

3

:

STEP

4

:

Pulling out like terms

4.1     Pull out like factors :

  10x2 - 15y2  =   5 • (2x2 - 3y2)  

Trying to factor as a Difference of Squares:

4.2      Factoring:  2x2 - 3y2  

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 :

 5 • (2x2 - 3y2)

Step-by-step explanation:

hope its helpful

Answer 2

Answer:

Answer for the problem is given.

Step-by-step explanation:

Hope it helps you....