Question

expansion of
(7+m)³​

Answer 1

$\huge\underline\mathfrak\purple{Answer}$

( 7 + m )²

( 7 )³ + ( m )³ + 3 ( 7m ) ( 7 + m )

343 + m³ + 21m ( 7 + m )

343 + m³ + 147m + 21m²

m³ + 21m2 + 147m + 343

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Answer 2

(7 + m)³ = m³ + 21m² + 147m + 343

Given :

The expression (7 + m)³

To find :

The expansion of (7 + m)³

Formula :

(a + b)³ = a³ + 3a²b + 3ab² + b³

Solution :

Step 1 of 2 :

Write down the given expression

Here the given expression is (7 + m)³

Step 2 of 2 :

Expand the expression

We are aware of the identity that

(a + b)³ = a³ + 3a²b + 3ab² + b³

Using above identity we get

(7 + m)³

= (7)³ + 3 × 7² × m + 3 × 7 × m² + m³

= 343 + 147m + 21m² + m³

= 343 + 21m² + 147m + m³

= m³ + 21m² + 147m + 343

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