What is (7x-3y)(2x-3y)-(3y-2x)^2 ?

The solution to (7x-3y)(2x-3y)-(3y-2x)^2 is 10x^2-15xy

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simplify (7x-3y)(2x-3y)-(3y-2x)^2

simplify

(7 x - 3 y) (2 x - 3 y) - (3 y - 2 x)^{2}

10 x^{2} - 15 x y

Solution steps

(7 x - 3 y) (2 x - 3 y) - (3 y - 2 x)^{2}

Expand

(7 x - 3 y) (2 x - 3 y) : 14 x^{2} - 27 x y + 9 y^{2}

= 14 x^{2} - 27 x y + 9 y^{2} - (3 y - 2 x)^{2}

Expand

- (3 y - 2 x)^{2} : - 9 y^{2} + 12 x y - 4 x^{2}

= 14 x^{2} - 27 x y + 9 y^{2} - 9 y^{2} + 12 x y - 4 x^{2}

Add similar elements:

9 y^{2} - 9 y^{2} = 0

= 14 x^{2} - 27 x y + 12 x y - 4 x^{2}

Add similar elements:

- 27 x y + 12 x y = - 15 x y

= 14 x^{2} - 15 x y - 4 x^{2}

Group like terms

= 14 x^{2} - 4 x^{2} - 15 x y

Add similar elements:

14 x^{2} - 4 x^{2} = 10 x^{2}

= 10 x^{2} - 15 x y

\frac{∣ x - 1 ∣}{3 x - 1} \geq 0

8 x^{- \frac{1}{2}} + 6 x^{\frac{1}{2}} + x^{\frac{3}{2}}

\frac{n}{6.5} = 16.6

- 1 < \frac{n}{2} + 1

3 x^{2} - 9 x + 4 = 0

What is (7x-3y)(2x-3y)-(3y-2x)^2 ?
The solution to (7x-3y)(2x-3y)-(3y-2x)^2 is 10x^2-15xy