Evaluate the following using suitable identities-99-3-

Question

Toppr Admin · Accepted Answer

-99-3-100-x2212-1-3-xA0-Suitable identities is -x-x2212-y-3-x3-x2212-3x2y-3xy2-x2212-y3-x2234-100-x2212-1-3-100-3-x2212-3-100-2-1-3-100-1-2-x2212-1-3-1000000-x2212-30000-300-x2212-1-970299

Evaluate the following using suitable identities.
$(99)^{3}$

$(99)^{3} = (100 - 1)^{3}$
Suitable identities is $(x - y)^{3} = x^{3} - 3 x^{2} y + 3 x y^{2} - y^{3}$
$∴ (100 - 1)^{3}$
$= (100)^{3} - 3 (100)^{2} (1) + 3 (100) (1)^{2} - (1)^{3}$
$= 1000000 - 30000 + 300 - 1 = 970299$

Evaluate the following using suitable identities.(99)3

(99)3=(100−1)3 Suitable identities is (x−y)3=x3−3x2y+3xy2−y3∴(100−1)3=(100)3−3(100)2(1)+3(100)(1)2−(1)3=1000000−30000+300−1=970299

Evaluate the following using suitable identities.
$(99)^{3}$

$(99)^{3} = (100 - 1)^{3}$
Suitable identities is $(x - y)^{3} = x^{3} - 3 x^{2} y + 3 x y^{2} - y^{3}$
$∴ (100 - 1)^{3}$
$= (100)^{3} - 3 (100)^{2} (1) + 3 (100) (1)^{2} - (1)^{3}$
$= 1000000 - 30000 + 300 - 1 = 970299$