Question

simplify using identity (2 ×+1 )cube​

Answer 1

$\: \:\:\:\:\:\: \:\:\:\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\blue{ {(2x + 1)}^{3}}$

By using {(a+b)³ = a³ + 3a²b + 3ab² + b³} the value is,

$\blue{{(2x) ^{3}} + 3 \times { {(2x)}^{2}} \times 1 + 3 \times 2x \times {{1}^{2}} + {{1}^{3} }} \\ \\ = > \blue{{8 {x}^{3} } + 3 \times {4 {x}^{2} } \times 1 + 3 \times 2x \times {1} + {1}} \\ \\ = > \green{\boxed{8 {x}^{3} + 12 {x}^{2} + 6x + 1}}$