Question

(-35)^3 +(20)^3+(15)^3... without actually calculating the cubes , find the value of each of the following.​

Answer 1

Answer:

$\huge \blue {answer \: = > } \\ \\ \\ \bold {i) \: \: {( - 35)}^{3} + {(20)}^{3} + {(15)}^{3} } \\ \\ \bold \red{(the \: exponents \: are \: same \: so \: we \: multiply \: the \: bases)} \\ \\ = > {( - 36 \times 20 \times 15)}^{3} \\ \\ \bold \green{ = > ( {10800})^{3} } \\ \\ \\ \bold {ii) {(75)}^{3} + {( - 45)}^{3} + {(30)}^{3} } \\ \\ \bold \blue {(the \: exponents \: are \: same \: so \: we \: multiply \: the \: bases)} \\ \\ = > ( {75 \times - 45 \times 30)}^{3} \\ \\ \bold \green{ = > {( - 101250) }^{3} }$

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