Question

Expand the function. f(x)=(x + 7)^3

Answer 1

Answer:

$f(x) = {x}^{3} + 21 {x}^{2} + 147x + 343$

Step-by-step explanation:

$(x + 7 {)}^{3}$

${x}^{3} + 3 {x}^{2} \times 7 + 3x \times {7}^{2} + {7}^{3}$

${x}^{3} + {x}^{2} \times 7 + 3x \times 49 + 343$

${x}^{3} + 21 {x}^{2} + 147x + 343$

Therefore:

$f(x) = {x}^{3} + 21 {x}^{2} + 147x + 343$