Question

. Multiply (3x+2)(4x-7)

Answer 1

12
`x^(2)` + 29x - 14

Explanation:

(3x+2)(4x-7)

Multiply out 3x first then 2

(3x * 4x) - (3x * -7) + (2 * 4x) + (2 * -7)

12
`x^(2)` - (- 21x) + 8x + ( -14)

12
`x^(2)` + 21x + 8x - 14 Combine like terms

12
`x^(2)` + 29x - 14

Answer 2

`\boxed{ \bold{ \boxed{ \sf{12 {x}^(2) - 13x - 14}}}}`

Explanation:

`\sf{(3x + 2)(4x - 7)}`

Use the distributive property to multiply each term of the first binomial by each term of the second binomial

`\longrightarrow{ \sf{3x(4x - 7) + 2(4x - 7)}}`

`\dashrightarrow{ \sf{12 {x}^(2) - 21x + 8x - 14}}`

Collect like terms

`\longrightarrow{ \sf{12 {x}^(2) - 13x - 14}}`

Hope I helped!

Best regards! :D