729p6- q6 please answer
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729p6- q6
= 3⁶ × p⁶ - q⁶
= (3p)⁶ - q⁶
= (3³p³)² - (q³)²
we use the formula, a² - b² = (a + b) (a - b)
= (3³p³ + q³) ( 3³p³ - q³)
= (27p³ + q³) ( 27p³ - q³)
OR, we have,
we use the formula, a⁶ - b⁶ = (a + b)(a² - ab + b²)(a - b)(a² + ab + b²)
= (3p + q) [ (3p)² - 3p × q + q² ] (3p - q) [ (3p)² + 3p × q + q² ]
= (3p + q) [ 9p² - 3pq + q² ] (3p - q) [ 9p² + 3pq + q² ]
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