Factor 4y2 - 36y6
Both 4y2 and 36y6 are perfect squares (their coefficients are perfect squares and their exponents are even numbers).
Since subtraction is occurring between these squares, this expression is the difference of two squares.
What times itself will give 4y2 ? The answer is 2y.
What times itself will give 36y6 ? The answer is 6y3 .
The factors are (2y + 6y3) and (2y - 6y3).
Answer: (2y + 6y3) (2y - 6y3) or (2y - 6y3) (2y + 6y3)
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