Question

Factorise: 27x^3+125z^3 ​

Answer 1

Step-by-step explanation:

${27x}^{3} + 125 {z}^{3} \\ = ( {3x})^{3} + ( {5z)}^{3} \\ = ( {3x + 5z)}^{3} \\ = ( {3x)}^{3} + ( {5z)}^{3} + 3 \times 3x \times 5z(3x + 5z) \\ = 27 {x}^{3} + 125 {z}^{3} + 45xz(3x + 5z) \\ = 27 {x}^{3} + 125 {z}^{3} + 135 {x}^{2} z + 225x {z}^{2}$

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