Answer:
25x4-16y2
Final result :
(5x2 + 4y) • (5x2 - 4y)
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "y2" was replaced by "y^2". 1 more similar replacement(s).
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(25 • (x4)) - 24y2
Step 2 :
Equation at the end of step 2 :
52x4 - 24y2
Step 3 :
Trying to factor as a Difference of Squares :
3.1 Factoring: 25x4-16y2
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 : 25 is the square of 5
Check : 16 is the square of 4
Check : x4 is the square of x2
Check : y2 is the square of y1
Factorization is : (5x2 + 4y) • (5x2 - 4y)
Trying to factor as a Difference of Squares :
3.2 Factoring: 5x2 - 4y
Check : 5 is not a square !!
Ruling : Binomial can not be factored as the
difference of two perfect squares
Final result :
(5x2 + 4y) • (5x2 - 4y)
Step-by-step explanation: i looked it up and this is what i got sorry if its wrong
