Question

factorise 9x square -12x+4​

Answer 1

AnswEr:-

❀ Your Answer Is (3x-2)(3x-2).

ExplanaTion:-

Given polynomial:-

$\\ \tt\longrightarrow9 {x}^{2} - 12x + 4.$

And we have to factorize it.

So,

Lets factorize it by factorization method:-

$\\ \rm\longrightarrow{\underline{\underline {coeffcient \: \: of \: \: {x}^{2} \times constant \: \: term.}}} \\ \\ \tt = 9 \times 4. \\ \\ \tt = 36. \\ \\ \rm also \\ \\ \tt\longrightarrow36 = 2 \times 2 \times 3 \times 3. \\ \\ \rm and \\ \\ \tt\longrightarrow(2 \times 3) +( 2 \times 3). \\ \\ \tt = 6 + 6. \\ \\ \tt = 12 = middle \: \: term.$

So lets split the middle term:-

$\\ \tt\mapsto9 {x}^{2} - 12x + 4. \\ \\ \tt = 9 {x}^{2} - (6 + 6)x + 4. \\ \\ \tt = 9 {x}^{2} - 6x - 6x + 4. \\ \\ \tt = 3x(3x - 2) - 2(3x - 2). \\ \\ \tt = (3x - 2)(3x - 2). \\ \\ \rm \: \: \: \: {\underline{\underline{ \: \: hence \: \: factorized. \: \: }}}$

Therefore the final answer is (3x-2)(3x-2).

Answer 2

Answer:

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