Question

Expand the following (101)3

Answer 1

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→ (101)³

→ 101 × 101 × 101

When We Solve It

→ 101 × 101 × 101

→ 10201 × 101

→ 1030301

$\large{ \boxed{ \sf{ \color{pink}hope \: it \: helps}}}$

Answer 2

Answer:

Let us simplify the expression, we get

(101)3 = (100 + 1)3

(100 + 1)3 = (100)3 + [ 3 ×(100)2 ×(1)] + [ 3 ×(100)×(1)2 ] +(1)3

By using the formula,

(a + b)3 = a3 + 3a2b + 3ab2 + b3

Here a = 100, b = 1

Now, substitute the value we get

= 1000000 + (3 × 10000 × 1) + (3 × 100 × 1) + 1

= 1000000 + 30000 + 300 + 1

= 1030301

∴ (101)3 = (100 + 1)3 = 1030301