Question

expand (k+4)^3 the problem ​

Answer 1

Answer:

${k}^{3} + 64 + 3 {k}^{2} (4 )+ 3( {4}^{2}) (k)$

${k}^{3} + 64 + 12 {k}^{2} + 48k$

Answer 2

Answer:

Let us simplify the expression, we get

(k + 4)3 = (k)3 + [ 3 ×(k)2 × (4)] + [ 3 × (k) × (4)2 ] + (4)3

By using the formula,

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

Here a = k, b = 4

Now, substitute the value we get

= k3 + (3 × 4)k2 + (3 × 16)k + 64

= k3 + 12k2 + 48k + 64

∴ (k + 4)3 = k3 + 12k2 + 48k + 64