Question

Which of the following is the correct factorization of this trinomial?

9x2 -0 x-16
O A. (3x-8)(3x + 2)
O B. (9x - 4)(x + 4)
O C. (3x-4)(3x + 4)
O D. (9x-8)(x + 2)

Answer 1

The answer is c. Difference of squares

Answer 2

`\implies {\blue {\boxed {\boxed {\purple {\sf { C. \: (3x - 4)(3x +4) }}}}}}`

`\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}`

`\: 9 {x}^(2) - 0x - 16`

➺
`\: 9 {x}^(2) - 0 - 16`

➺
`\: 9 {x}^(2) - 16`

➺
`\: ( {3x})^(2) - ({4})^(2)`

➺
`\: (3x - 4)(3x + 4)`

Note:-

♨
`\:( {a})^(2) - ({b})^(2) = (a + b)(a - b)`

`\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{☂}}}}}`