Question

Expand and simplify

1) 3 ( 2x + 1 ) + 5x
2) ( x + 3 ) ( x + 4 )
3) ( x + y ) ^2
4) ( 2x + 1 ) ( x - 3 )​

Answer 1

Question:

→To simple the given equations

• ( 2x + 1 ) + 5x
• ( x + 3 ) ( x + 4 )
• ( x + y ) ²
• ( 2x + 1 ) ( x - 3 )

Answer:

Part 1:

→
`3 ( 2x + 1 ) + 5x`

`\green{step \: 2}`

→
`6x + 3 + 5x`

`\green{step \: 3}`

→
`\blue{11x + 3✓}`

part 2:

`\green{step \: 1}`

→
`( x + 3 ) ( x + 4 )`

`\green{step \: 2}`

→
`{x}^(2) + 4x + 3x + 12`

`\green{step \: 3}`

→
`\blue{ {x}^(2) + 7x + 12✓}`

part 3:

`\green{step \: 1}`

→
`( x + y ) ^2`

`\green{step \: 2}`

→
`\blue{{x}^(2) + {y}^(2) + 2xy✓}`

part 4:

`\green{step \: 1}`

→
`( 2x + 1 ) ( x - 3 )`

`\green{step \: 2}`

→
`2 {x}^(2) - 6x + x - 3`

`\green{step \: 3}`

→
`\blue{2 {x}^(2) - 5x - 3✓}`

★What do you mean by simplifying an equation:

• Simplifying an evaluation means to solve any difficult or easy equation in as simple form as possible .

★Steps we can do to simplify the equation:

• Open brackets/parentheses to make the equation more simplified.

• Add /subtract numbers or numbers with same variable/constant.

thankyou ❤️