factorize 16x^2 y -24xy^2 - 40x^2 y^2
Answers
Answer:
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Answer:
(((16•(x3))•(y4))+((40•(x2))•(y5)))+52xy6
(((16•(x3))•(y4))+((23•5x2)•y5))+52xy6
((24x3 • y4) + (23•5x2y5)) + 52xy6
16x3y4 + 40x2y5 + 25xy6 = xy4 • (16x2 + 40xy + 25y2)
Try to factor this multi-variable trinomial using trial and error
Found a factorization : (4x + 5y)•(4x + 5y)16x2 +40xy +25y2 is a perfect square
It factors into (4x+5y)•(4x+5y)
which is another way of writing (4x+5y)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
ANSWER: xy4 • (4x + 5y)2
Step-by-step explanation:
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