Question

9. x4 - 16y4 Factorise​

Answer 1

Answer:

fre is the ancient one women who are in 33333

Step-by-step explanation:

3ee3r333 66is 363a 33the 363

Answer 2

Answer:

(3x2 + 4y2) + (3x2 - 4y2)

Step-by-step explanation:

Changes made to your input should not affect the solution:

(1): "y4" was replaced by "y^4". 1 more similar replacement(s).

STEP

1

:

Equation at the end of step 1

(9 • (x4)) - 24y4

STEP

2

:

Equation at the end of step

2

:

32x4 - 24y4

STEP

3

:

Trying to factor as a Difference of Squares:

3.1 Factoring: 9x4-16y4

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 : 9 is the square of 3

Check : 16 is the square of 4

Check : x4 is the square of x2

Check : y4 is the square of y2

Factorization is : (3x2 + 4y2) • (3x2 - 4y2)

Trying to factor as a Difference of Squares:

3.2 Factoring: 3x2 - 4y2

Check : 3 is not a square !!

Ruling : Binomial can not be factored as the

difference of two perfect squares

Final result :

(3x2 + 4y2) • (3x2 - 4y2)

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