Question

9x
$9x {}^{4} - 21x {}^{3}y + 12x {}^{2}y {}^{2}$plese answer correct ​

Answer 1

The factorisation of the given expression is $3x^2(x-y)(3x-4y)$.

Step-by-step explanation:

Consider the provide information.

We have been given an expression $9x^{4} - 21x^{3}y + 12x^{2}y^{2}$ and we have been asked to factories the expression.

$\begin{array}{l}=9x^{4} - 21x^{3}y + 12x^{2}y^{2}\\\\=3x^2(3x^2-7xy+4y^2)\\\\=3x^2(x-y)(3x-4y)\end{array}$

Hence, the factorisation of the given expression is $3x^2(x-y)(3x-4y)$.

Answer 2

$\huge\red{A}\pink{N}\orange{S} \green{W}\blue{E}\gray{R} =$

The factorisation of the given expression is 3x^2(x-y)(3x-4y)3x

2

(x−y)(3x−4y) .

Step-by-step explanation:

Consider the provide information.

We have been given an expression 9x^{4} - 21x^{3}y + 12x^{2}y^{2}9x

4

−21x

3

y+12x

2

y

2

and we have been asked to factories the expression.

$\begin{gathered}\begin{array}{l}=9x^{4} - 21x^{3}y + 12x^{2}y^{2}\\\\=3x^2(3x^2-7xy+4y^2)\\\\=3x^2(x-y)(3x-4y)\end{array}\end{gathered} </p><p>=9x </p><p>4</p><p> −21x </p><p>3</p><p> y+12x </p><p>2</p><p> y </p><p>2</p><p> </p><p>=3x </p><p>2</p><p> (3x </p><p>2</p><p> −7xy+4y </p><p>2</p><p> )</p><p>=3x </p><p>2</p><p> (x−y)(3x−4y)$

Hence, the factorisation of the given expression is 3x^2(x-y)(3x-4y)3x

2

(x−y)(3x−4y) .