Evaluate -96-3

Question

Evaluate -96-3

Toppr Admin · Accepted Answer

-96-3-100-x2212-4-3-3C0-100-3-x2212-3C1-100-2-4-3C2-100-4-2-x2212-3C3-4-3-100-3-x2212-3-100-2-4-3-100-4-2-x2212-4-3-1000000-x2212-120000-4800-x2212-64-884736

Evaluate $(96)^{3}$

$(96)^{3} = (100 - 4)^{3}$
$=^{3} C_{0} (100)^{3} -^{3} C_{1} (100)^{2} (4) +^{3} C_{2} (100) (4)^{2} -^{3} C_{3} (4)^{3}$
$= (100)^{3} - 3 (100)^{2} (4) + 3 (100) (4)^{2} - (4)^{3}$
$= 1000000 - 120000 + 4800 - 64$
$= 884736$

Evaluate (96)3

(96)3=(100−4)3=3C0(100)3−3C1(100)2(4)+3C2(100)(4)2−3C3(4)3=(100)3−3(100)2(4)+3(100)(4)2−(4)3=1000000−120000+4800−64=884736

Evaluate $(96)^{3}$

$(96)^{3} = (100 - 4)^{3}$
$=^{3} C_{0} (100)^{3} -^{3} C_{1} (100)^{2} (4) +^{3} C_{2} (100) (4)^{2} -^{3} C_{3} (4)^{3}$
$= (100)^{3} - 3 (100)^{2} (4) + 3 (100) (4)^{2} - (4)^{3}$
$= 1000000 - 120000 + 4800 - 64$
$= 884736$