Question

solve (4 + √(15))^3 + (4 - √(15))^3

Answer 1

Answer:

308

Step-by-step explanation:

(a+b)³= a³+3a²b+3ab²+b³

(a-b)³= a³-3a²b+3ab²+b³

using above formulas for expanding,

(4+√15)³

=4³+3(4)²(√15)+3(4)(√15)²+(√15)³

=64+48√15+90+15√15

=64+90+48√15+15√15

=154+63√15

(4-√15)³

=4³-3(4)²(√15)+3(4)(√15)²-(√15)³

=64-48√15+90-15√15

=64+90-48√15-15√15

=154-63√15

now solving,

(4+√15)³+(4-√15) ³

=154+63√15+154-63√15

=154+154

=308

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