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Verified answer
7x²y + 21xy² = 7xy(x + 3y)pq + p²q² = pq(1 + pq)
1/4x² - 1/25y² = (25y² - 4x²)/(4x²25y²)
= (5y - 2x)(5y + 2x) / (4x²25y²)