(k+4)³ = _____________​

Answers 2

Answer:

(k+4)3=k3+12k2+48k+64.

answer img

Answer:

(k + 4)³ = k³ + 12k² + 48k + 64

Step-by-step explanation:

Expansion of the algebraic identity (a + b)³ is:

          [tex](a +b)^{3} = a^{3} + b^{3} + 3a^{2} b+3ab^{2}[/tex]

Step 1:

a = k

b = 4

(a + b)³ = (k + 4)³

Step 2:

Expanding using the identity:

(k + 4)³ = k³ + 4³ + 3k²×4 + 3k×4²

(k + 4)³ = k³ + 64 + 12k² + 48k

(k + 4)³ = k³ + 12k² + 48k + 64

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