rut gon
A=(5x+3y)(2x-3)-(2x+3)(5x-3y)
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a: \(\left(3x+2\right)^2+4x-3x^2+2\left(5x-2\right)\left(5x+2\right)-75x^2\)
\(=9x^2+12x+4+4x-3x^2+50x^2-8-75x^2\)
\(=-19x^2+16x-4\)
a) \(\left(5x+3y\right)\left(5x-3y\right)+\left(4x-3y\right)^2\)
\(=25x^2-9y^2+16x^2-24xy+9y^2\)
\(=41x^2-24xy\)
b) \(\left(2x-3y\right)^3-\left(3x+2y\right)^3\)
\(=8x^3-36x^2y+54xy^2-27xy^2-27x^3-54x^2y-36xy^2-8y^3\)
\(=-19x^3-90x^2y+18xy^2-35y^3\)
A+B
=3x^2y^3-5x^3y^2-5xy+1+5x^3y^2-2x^2y^3-5xy+2
=x^2y^3-10xy+3
a: \(\dfrac{9x^3y^2-4xy^2+5x}{2x}=\dfrac{9}{2}x^2y^2-2y^2+\dfrac{5}{2}\)
b: \(\left(\dfrac{3}{4}x^3y^6+\dfrac{6}{5}x^4y^3-\dfrac{9}{10}x^5y\right):\dfrac{-3}{5}x^3y\)
\(=y^5\cdot\left(\dfrac{3}{4}:\dfrac{-3}{5}\right)-xy^2\cdot\left(\dfrac{6}{5}:\dfrac{3}{5}\right)+\dfrac{9}{10}:\dfrac{3}{5}\cdot x^2\)
\(=\dfrac{-5}{4}y^5-2xy^2+\dfrac{3}{2}x^2\)
\(A=\left(5x+3y\right)\left(2x-3y\right)-\left(2x+3y\right)\left(5x-3y\right)\)
\(A=10x^2-15xy+6xy-9y^2-\left(10x^2-6xy+15xy-9y^2\right)\)
\(A=10x^2-15xy+6xy-9y^2-10x^2+6xy-15xy+9y^2\)
\(A=-18xy\)