Question

HELP, WILL GIVE BRAINLEST..

Answer 1

Answer:

$\sf -3xy\left(2x^2-3xy+4y^2\right)$

Step-by-step explanation:

$\sf -6x^3y+9x^2y^2-12xy^3$

To factor the GCF of 6x³y + 9x²y2 - 12xy³ let's apply the exponent rule:-

$\boxed{\sf a^{b+c}=a^ba^c}$

$\boxed{\sf x^3y=xx^2y,\:x^2y^2=xxyy,\:xy^3=xyy^2}$

$\sf -6xx^2y+9xxyy-12xyy^2$

Rewrite,

• -6 as 2 * 3

• 9 as 3 * 3

• -12 as 4 * 3

$\sf 2\cdot \:3xx^2y+3\cdot \:3xxyy+4\cdot \:3xyy^2$

Now, factor out the common term $\sf -3xy$:-

• $\sf -3xy\left(2x^2-3xy+4y^2\right)$

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