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

Trystan Horne

Answered question

2022-02-04

How do you simplify

5 x y - 6 x^{2} y^{2} = 4 x^{2} y^{2} - 2 x y ?

Pecsan9mj

Beginner2022-02-05Added 13 answers

Step 1
First, group and combine like terms:

5 x y - 6 x^{2} y^{2} + 4 x^{2} y^{2} - 2 x y \Rightarrow

- 6 x^{2} y^{2} + 4 x^{2} y^{2} + 5 x y - 2 x y \Rightarrow

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

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

Now, factor an

x y

out of each term:

(x y \times - 2 x y) + (3 \times x y) \Rightarrow

x y (- 2 x y + 3)

Pamela Webb

Beginner2022-02-06Added 10 answers

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)

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