Factorise $18 x^{3} y^{3} - 27 x^{2} y^{3} + 36 x^{3} y^{2}$ .

9 x^{2} y^{2} (2 x y - 3 y + 4 x)

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

9 x^{2} y^{2} (2 x y + 3 y + 4 x)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

9 x^{2} y^{2} (2 x y - 3 y - 4 x)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

9 x^{2} y^{2} (2 x y + 3 y - 4 x)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $9 x^{2} y^{2} (2 x y - 3 y + 4 x)$
$18 x^{3} y^{3} - 27 x^{2} y^{3} + 36 x^{3} y^{2}$
$18 x^{3} y^{3}$
= $2 \times 3 \times 3 \times x \times x \times x \times y \times y \times y$

$27 x^{2} y^{3}$
= $3 \times 3 \times 3 \times x \times x \times y \times y \times y$

$36 x^{3} y^{2}$
= $2 \times 2 \times 3 \times 3 \times x \times x \times x \times y \times y$

$C o m m o n f a c t o r s a r e 3^{2}, x^{2} a n d y^{2}$

$18 x^{3} y^{3} - 27 x^{2} y^{3} + 36 x^{3} y^{2}$
$= 9 x^{2} y^{2} (2 x y - 3 y + 4 x)$

Suggest Corrections

Similar questions

18 x^{3} y^{3} - 27 x^{2} y^{3} + 36 x^{3} y^{2}

Factorise: $18 x^{3} y^{3} - 27 x^{2} y^{3} + 36 x^{3} y^{2}$

\frac{12 x^{3} y^{2} - 9 x^{2} y}{6 x^{4} y + 18 x^{3} y^{3}}

Factorise: $27 x^{3} + y^{3} + z^{3} - 9 x y z$

9 x^{2} + 6 x + 1 - 25 y^{2}

a^{2} + b^{2} + 2 a b 2 b c + 2 c a

Join BYJU'S Learning Program