How do you simplify 5xy−6x2y2=4x2y2−2xy?

Question

Pecsan9mj · Accepted Answer

Step 1  First, group and combine like terms:  5xy−6x2y2+4x2y2−2xy⇒  −6x2y2+4x2y2+5xy−2xy⇒  (−6+4)x2y2+(5−2)xy⇒  −2x2y2+3xy  Now, factor an xy out of each term:  (xy×−2xy)+(3×xy)⇒  xy(−2xy+3)

Pamela Webb · Accepted Answer

Step 1
You would collect equal variables together

(5 x y - 2 x y) + (- 6 x^{2} y^{2} + 4 x^{2} y^{2})

Simplify it

5 x y - 2 x y = 3 x y

- 6 x^{2} y^{2} + 4 x^{2} y^{2} = - 2 x^{2} y^{2}

3 x y - 2 x^{2} y^{2}

Factorise it by taking a common factor which is

- x y

- x y (2 x y - 3)

How do you simplify 5xy−6x2y2=4x2y2−2xy?

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