Find the value of p for which the expression 9x²+pxy+25y² is a perfect square. The Answer is p=30. But I need the steps. please help
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Answer:
9x²+pxy+25y²
we know that
(3x+5y)²=9x²+pxy+25y² (a = 3x, b=5y)
(a+b)²= a²+ 2ab+b² by using this formula
a² =9x² b²= 25y² 2ab= pxy
2ab = 2*3x*5y
= 30xy
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