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Andrei [34K]
3 years ago
5

16x^4+48x^2y^2+36y^4

Mathematics
2 answers:
Gnoma [55]3 years ago
5 0

For this case we factor the following polynomial;

16x ^ 4 + 48x ^ 2y ^ 2 + 36y ^ 4

So:

We take common factor 4:

4 (4x ^ 4 + 12x ^ 2y ^ 2 + 9y ^ 4) =

We rewrite the following terms:

4x ^ 4 = (2x ^ 2) ^ 2\\9y ^ 4 = (3y ^ 2) ^ 2\\4 ((2x ^ 2) ^ 2 + 12x ^ 2y ^ 2 + (3y ^ 2) ^ 2) =

Verify the term of the medium:

2ab = 2 (2x ^ 2) (3y ^ 2)

Factor using the trinomial rule of the perfect square:

a ^ 2 + 2ab + b ^ 2 = (a + b) ^ 2

Where:

a = 2x ^ 2\\b = 3y ^ 2

Then, rewriting:

4 (2x ^ 2 + 3y ^ 2) ^ 2

Answer:

4 (2x ^ 2 + 3y ^ 2) ^ 2

Reil [10]3 years ago
3 0

64x + 38y + 10 is your answer......

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