Question

विस्तार करा:(k + 4)³

Answer 1

विस्तार करा:(k + 4)³

विस्तार सूत्र:

${(x + y)}^{3} = {x}^{3} + {y}^{3} + 3 {x}^{2} y + 3x {y}^{2} \\ \\ x = k \\ \\ y = 4 \\ \\ {(k + 4)}^{3} = {k}^{3} + {(4)}^{3} + 3 {k}^{2} (4)+ 3k {(4)}^{2} \\ \\ = {k}^{3} + 64 + 12 {k}^{2}+ 48k$
विस्तार:
${(k + 4)}^{3} ={k}^{3} + 64 + 12 {k}^{2}+ 48k$

Answer 2

उत्तर :-

${(k + 4)}^{3} \\ \\ ⇒ {k}^{3} + 3 \times {k}^{2} \times 4 + 3 \times k \times {4}^{2} + {4}^{3} \\ (∵ {(a + b)}^{3} = {a}^{3} + 3 {a}^{2} b + 3a {b}^{2} + {b}^{3} ) \\ \\ ⇒ {k}^{3} + 12 {k}^{2} + 48k + 64 \:$