(1) \( 3 x(x-4)+2 x(x+5)= \) (2) \( 2 x(x+1)-3 x(x+2)= \) (3) \( 2 x(x+3)-x(x-2)= \) (4) \( 2 x(x-3)+3 x(2 x-1)= \) (5) \( x(x-y)+3 x(x+2 y)= \) (6) \( x(x-2 y)+2 x(x-y)= \) (7) \( 2 x(x+3 y)-3 y(2 x+y)= \)

Simplify the expression by following steps: - step0: Add the terms: \(3x\left(x-4\right)+2x\left(x+5\right)\) - step1: Expand the expression: \(3x^{2}-12x+2x\left(x+5\right)\) - step2: Expand the expression: \(3x^{2}-12x+2x^{2}+10x\) - step3: Add the terms: \(5x^{2}-2x\) Expand the expression \( x (x - y) + 3 x (x + 2 y) \) Simplify the expression by following steps: - step0: Add the terms: \(x\left(x-y\right)+3x\left(x+2y\right)\) - step1: Expand the expression: \(x^{2}-xy+3x\left(x+2y\right)\) - step2: Expand the expression: \(x^{2}-xy+3x^{2}+6xy\) - step3: Add the terms: \(4x^{2}+5xy\) Expand the expression \( 2 x (x + 3 y) - 3 y (2 x + y) \) Simplify the expression by following steps: - step0: Subtract the terms: \(2x\left(x+3y\right)-3y\left(2x+y\right)\) - step1: Expand the expression: \(2x^{2}+6xy-3y\left(2x+y\right)\) - step2: Expand the expression: \(2x^{2}+6xy-6yx-3y^{2}\) - step3: Subtract the terms: \(2x^{2}+0-3y^{2}\) - step4: Remove 0: \(2x^{2}-3y^{2}\) Expand the expression \( 2 x (x - 3) + 3 x (2 x - 1) \) Simplify the expression by following steps: - step0: Add the terms: \(2x\left(x-3\right)+3x\left(2x-1\right)\) - step1: Expand the expression: \(2x^{2}-6x+3x\left(2x-1\right)\) - step2: Expand the expression: \(2x^{2}-6x+6x^{2}-3x\) - step3: Add the terms: \(8x^{2}-9x\) Expand the expression \( 2 x (x + 1) - 3 x (x + 2) \) Simplify the expression by following steps: - step0: Subtract the terms: \(2x\left(x+1\right)-3x\left(x+2\right)\) - step1: Expand the expression: \(2x^{2}+2x-3x\left(x+2\right)\) - step2: Expand the expression: \(2x^{2}+2x-3x^{2}-6x\) - step3: Subtract the terms: \(-x^{2}-4x\) Expand the expression \( 2 x (x + 3) - x (x - 2) \) Simplify the expression by following steps: - step0: Subtract the terms: \(2x\left(x+3\right)-x\left(x-2\right)\) - step1: Expand the expression: \(2x^{2}+6x-x\left(x-2\right)\) - step2: Expand the expression: \(2x^{2}+6x-x^{2}+2x\) - step3: Subtract the terms: \(x^{2}+8x\) Expand the expression \( x (x - 2 y) + 2 x (x - y) \) Simplify the expression by following steps: - step0: Add the terms: \(x\left(x-2y\right)+2x\left(x-y\right)\) - step1: Expand the expression: \(x^{2}-2xy+2x\left(x-y\right)\) - step2: Expand the expression: \(x^{2}-2xy+2x^{2}-2xy\) - step3: Add the terms: \(3x^{2}-4xy\) Aqui estão as expressões expandidas para cada um dos problemas: (1) \( 3 x(x-4) + 2 x(x+5) = 5x^{2} - 2x \) (2) \( 2 x(x+1) - 3 x(x+2) = -x^{2} - 4x \) (3) \( 2 x(x+3) - x(x-2) = x^{2} + 8x \) (4) \( 2 x(x-3) + 3 x(2 x-1) = 8x^{2} - 9x \) (5) \( x(x-y) + 3 x(x+2y) = 4x^{2} + 5xy \) (6) \( x(x-2y) + 2 x(x-y) = 3x^{2} - 4xy \) (7) \( 2 x(x+3y) - 3 y(2x+y) = 2x^{2} - 3y^{2} \) Se precisar de mais alguma coisa, é só avisar!