Question

Evaluate this question using identity:
(100+5)³​

Answer 1

$(105) {}^{3} =(100+5) {}^{3} \\ =(100) {}^{3} +(5) {}^{3} +3(100)(5) \\ ∵(x+y) {}^{3} =x {}^{3} +y {}^{3} +3xy(x+y)) \\ =1000000+125+1500(105) \\ =1000000+125+157500=1157625$

Answer 2

Answer:

157500

Step-by-step explanation:

(105)³

=(100+5)³ {(x+y)³ = x³+y³+3xy(x+y)}

= 100³+5³+3(100×5)(100+5)

= 100,000+125+3(500)(105)

= 100,000+125+3×52500

= 100,125+157500

= 1157625

Hence, answer is 1157625