Question

simplify -5ay+4ay-6ay​

Answer 1

Answer:

-7ay is the right answer.

Answer 2

Answer:

216x4ay-6y5a

Final result :

6ay • (6x2 + y2) • (6x2 - y2)

Step by step solution :

Step 1 :

Equation at the end of step 1 :

(((216•(x4))•a)•y)-((2•3y5)•a)

Step 2 :

Equation at the end of step 2 :

(((23•33x4) • a) • y) - (2•3ay5)

Step 3 :

Step 4 :

Pulling out like terms :

4.1 Pull out like factors :

216x4ay - 6ay5 = 6ay • (36x4 - y4)

Trying to factor as a Difference of Squares :

4.2 Factoring: 36x4 - y4

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 : 36 is the square of 6

Check : x4 is the square of x2

Check : y4 is the square of y2

Factorization is : (6x2 + y2) • (6x2 - y2)

Trying to factor as a Difference of Squares :

4.3 Factoring: 6x2 - y2

Check : 6 is not a square !!

Ruling : Binomial can not be factored as the

difference of two perfect squares

Final result :

6ay • (6x2 + y2) • (6x2 - y2