expand the following : (7 + m )3
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Let us simplify the expression, we get
(7 + m)3 = (7)3 + [ 3 × (7)2 × (m)] + [ 3 × (7) × (m)2] + (m)3
By using the formula,
(a + b)3 = a3 + 3a2b + 3ab2 + b3
Here a = 7, b = m
Now, substitute the value we get
= 343 + (3 × 49)m + (3 × 7)m2 + m3
= 343 + 147m + 21m2 + m3
∴ (7 + m)3 = 343 + 147m + 21m2 + m3
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