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Answers
Step-by-step explanation:
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
1
:
Equation at the end of step 1
(64 • (x2)) - 112y2
STEP
2
:
Equation at the end of step
2
:
26x2 - 112y2
STEP
3
:
Trying to factor as a Difference of Squares:
3.1 Factoring: 64x2-121y2
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 : 64 is the square of 8
Check : 121 is the square of 11
Check : x2 is the square of x1
Check : y2 is the square of y1
Factorization is : (8x + 11y) • (8x - 11y)
Final result :
(8x + 11y) • (8x - 11y)
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