Trystan Horne

2022-02-04

How do you simplify $5xy-6{x}^{2}{y}^{2}=4{x}^{2}{y}^{2}-2xy?$

Pecsan9mj

Step 1
First, group and combine like terms:
$5xy-6{x}^{2}{y}^{2}+4{x}^{2}{y}^{2}-2xy⇒$
$-6{x}^{2}{y}^{2}+4{x}^{2}{y}^{2}+5xy-2xy⇒$
$\left(-6+4\right){x}^{2}{y}^{2}+\left(5-2\right)xy⇒$
$-2{x}^{2}{y}^{2}+3xy$
Now, factor an $xy$ out of each term:
$\left(xy×-2xy\right)+\left(3×xy\right)⇒$
$xy\left(-2xy+3\right)$

Pamela Webb

Step 1
You would collect equal variables together
$\left(5xy-2xy\right)+\left(-6{x}^{2}{y}^{2}+4{x}^{2}{y}^{2}\right)$
Simplify it
$5xy-2xy=3xy$
$-6{x}^{2}{y}^{2}+4{x}^{2}{y}^{2}=-2{x}^{2}{y}^{2}$
$3xy-2{x}^{2}{y}^{2}$
Factorise it by taking a common factor which is $-xy$
$-xy\left(2xy-3\right)$

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