Using a suitable identity-find the value of -98-3

Question

Toppr Admin · Accepted Answer

-98-3-100-x2212-2-3-x2234-a-x2212-b-3-a3-x2212-b3-x2212-3a2b-3ab2-100-x2212-2-3-100-3-x2212-2-3-x2212-3-xD7-100-2-xD7-2-3-xD7-100-xD7-22-1000000-x2212-3-x2212-60000-1200-941192-

Using a suitable identity,find the value of $(98)^{3}$

$(98)^{3}$
$(100 - 2)^{3}$
$∴ (a - b)^{3} = a^{3} - b^{3} - 3 a^{2} b + 3 a b^{2}$
$(100 - 2)^{3} = (100)^{3} - (2)^{3} - 3 \times (100)^{2} \times 2 + 3 \times 100 \times 2^{2}$
$= 1000000 - 3 - 60000 + 1200$
$= 941192$ .

Using a suitable identity,find the value of (98)3

(98)3(100−2)3∴(a−b)3=a3−b3−3a2b+3ab2(100−2)3=(100)3−(2)3−3×(100)2×2+3×100×22=1000000−3−60000+1200=941192.

Using a suitable identity,find the value of $(98)^{3}$

$(98)^{3}$
$(100 - 2)^{3}$
$∴ (a - b)^{3} = a^{3} - b^{3} - 3 a^{2} b + 3 a b^{2}$
$(100 - 2)^{3} = (100)^{3} - (2)^{3} - 3 \times (100)^{2} \times 2 + 3 \times 100 \times 2^{2}$
$= 1000000 - 3 - 60000 + 1200$
$= 941192$ .