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This solution deals with factoring multivariable polynomials.
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 :
((x2) - 16xy) + 26y2Step 2 :
Trying to factor a multi variable polynomial :
2.1 Factoring x2 - 16xy + 64y2
Try to factor this multi-variable trinomial using trial and errorFound a factorization : (x - 8y)•(x - 8y)
Detecting a perfect square :
2.2 x2 -16xy +64y2 is a perfect squareIt factors into (x-8y)•(x-8y)
which is another way of writing (x-8y)2
How to recognize a perfect square trinomial: • It has three terms • Two of its terms are perfect squares themselves • The remaining term is twice the product of the square roots of the other two terms
Final result :
(x - 8y)2
Home Work Help
What is the completely factored form of x2 – 16xy + 64y2? A. xy(x – 16 + 64y) B. xy(x + 16 + 64y) C. (x – 8y)(x – 8y)
D. (x + 8y)(x + 8y)
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