Question

find the value of 106 cube - 94 cube​

Answer 1

Answer:

360432

Step-by-step explanation:

Using the identity $a^3-b^3=(a-b)(a^2+ab+b^2)$, the value can be found easier.

• $a^2+ab+b^2=(a+b)^2-ab$

• $a^3-b^3=(a-b)(a^2+ab+b^2)$

$106-94=12$

$(106+94)^2-106*94$

$=200^2-(100+6)*(100-6)$

$=200^2-100^2+6^2$

$=30036$

∴$12*30036$

$=10*30036+2*30036$

$=300360+60072$

$=360432$

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I calculated it in windows calculator, and it's correct.