Question

using suitable identity find the value of (8y-4z)(64y²+32yz+16z²)
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Answer 1

Step-by-step explanation:

Given that:-

$(8y - 4z)(64 {y}^{2} + 32yz + 16 {z}^{2} ) \\ = (8y - 4z)((8 {y}) {}^{2} + (8y \times 4z) + (4 {z}^{2} ) \\ = (8y) {}^{3} - (4z) {}^{3} \\ = 512 {y}^{3} - 64 {z}^{3} \\ the \: formula \: used \: is \\ (x - y)( {x}^{2} + xy + {y}^{2} ) = {x}^{3} - {y}^{3}$