9y^2+ 42yz + 49z^2 maths class 8
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Factoring 9y2 - 42yz + 49z2
Try to factor this multi-variable trinomial using trial and error
Found a factorization : (3y - 7z)•(3y - 7z)
Detecting a perfect square :
3.2 9y2 -42yz +49z2 is a perfect square
It factors into (3y-7z)•(3y-7z)
which is another way of writing (3y-7z)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
(3y - 7z)2...answer
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