Question

expand the following (2x + 3y +1)²​

Answer 1

Answer:

4x² + 9y² + 6y + 4x 1

Step-by-step explanation:

formula: (a+b+c)² = a²+b²+c²+2bc+2ca

4x² + 9y² + 1 + 2(3y)(1) + 2(1)(2x)=

4x² + 9y² + 1 + 6y + 4x=

4x² + 9y² + 6y + 4x 1

Answer 2

Using Identity

$\bf{\red{ \leadsto}} \tt \: (a + b + c)² = a² + b² + c² + 2bc + 2ca$

• a = 2x
• b = 3y
• c = 1

Substuting the values

$\begin{cases}\bf{\blue{ \leadsto}} \sf \: (2x)^{2} \: + \: {(3y)}^{2} \: + \: {(1)}^{2} \: + \: 2(3y)(1) \: + \: 2(1)(2x) \\ \\ \bf{\blue{ \leadsto}} \sf \: 4 {x}^{2} \: + \: 9 {y}^{2} \: + 1 \: + \: 6y \: + \: 4x \\ \\ \bf{\blue{ \leadsto}} \sf \:4 {x}^{2} \: + \: 9 {y}^{2} \: + \: 6y \: + \: 4x \: + \: 1\end{cases}$