Question

factorise 28xto the powe cube and - 63x​

Answer 1

Answer:

Step-by-step explanation:

(1): "x3"   was replaced by   "x^3".  

STEP

1

:

Equation at the end of step 1

 (22•7x3) -  63x

STEP

2

:

STEP

3

:

Pulling out like terms

3.1     Pull out like factors :

  28x3 - 63x  =   7x • (4x2 - 9)  

Trying to factor as a Difference of Squares:

3.2      Factoring:  4x2 - 9  

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 :  4  is the square of  2  

Check : 9 is the square of 3

Check :  x2  is the square of  x1  

Factorization is :       (2x + 3)  •  (2x - 3)  

Final result :

 7x • (2x + 3) • (2x - 3)

Answer 2

Step by Step Solution

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Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x3" was replaced by "x^3".

STEP

1

:

Equation at the end of step 1

(22•7x3) - 63x

STEP

2

:

STEP

3

:

Pulling out like terms

3.1 Pull out like factors :

28x3 - 63x = 7x • (4x2 - 9)

Trying to factor as a Difference of Squares:

3.2 Factoring: 4x2 - 9

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 : 4 is the square of 2

Check : 9 is the square of 3

Check : x2 is the square of x1

Factorization is : (2x + 3) • (2x - 3)

Final result :

7x • (2x + 3) • (2x - 3)