Question

9x² - 12x + 4

pls need ans.​

Answer 1

Explanation:

`\tt{9 {x}^(2) - 12x + 4}`

Here, the second order of polynomial ax² + bx + c is factorized and expressed as the product of two linear factors. First, we have to find the two numbers that adds to 12 and if we multiply those numbers , we get 36 ( The two numbers should be 6 and 6 ).

⟶
`\tt{9 {x}^(2) - (6 + 6)x + 4}`

⟶
`\tt{9 {x}^(2) - 6x - 6x + 4}` { Distribute x through the parentheses )

⟶
`\tt{ \underbrace{9 {x}^(2) - 6x}} \: - \underbrace{6x + 4}`

⟶
`\tt{3x(3x - 2) - 2(3x - 2)}`

⟶
`\tt{(3x - 2)(3x - 2)}`

⟶
`\tt{ {(3x - 2)}^(2) }`

`\pink{ \boxed{ \boxed{ \tt{ Our \: final \: answer : \boxed{ \underline{ \tt{{(3x - 2)}^(2) }}}}}}}`

Hope I helped ! ♡

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