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4) 3x² - 15x² ex³y² <- 2) 4x² - 12 xy + 2x¹z¹ (3) 3x²(x - y) = x + y 3x (x + 2) - x-2 ô 5x(x-3) - 4 (3-x) 6) 5x (x-2y) + 10 (2-x) 7) 2x (3x - 1) +1-32 2) 4
Đáp án: $\text{1) 3x² - 15x³}$ = $\text{3x² . (1 - 5x)}$ $\text{~~~~~~~~~~~~~~}$ $\text{2) 4x³ - 12x²y + 8x²y²}$ = $\text{4x².(x - 3y + 2y²)}$ $\text{~~~~~~~~~~~~~~}$ $\text{3) 3x²(x - y) - x + y}$ = $\text{3x²(x - y) - (x - y)}$ = $\text{(x - y)(3x² - 1)}$ $\text{~~~~~~~~~~~~~~}$ $\text{4) 3x(x + 2) - x - 2}$ = $\text{3x(x + 2) - (x + 2)}$ = $\text{(x + 2)(3x - 1)}$ $\text{~~~~~~~~~~~~~~}$ $\text{5) 5x²(x - 3) - 4(3 - x)}$ = $\text{5x²(x - 3) - 4(-x + 3)}$ = $\text{5x² - 15x² + 4x - 12}$ = $\text{(x - 3)(5x² + 4)}$ $\text{~~~~~~~~~~~~~~}$ $\text{6) 5x(x - 2y) + 10(2y - x)}$ = $\text{5x(x - 2y) - 10(x - 2y)}$ = $\text{(x - 2y)(5x - 10)}$ $\text{~~~~~~~~~~~~~~}$ $\text{7) 2x(3x - 1) + 1 - 3x}$ = $\text{2x(3x - 1) - (3x - 1)}$ = $\text{(3x - 1)(2x - 1)}$ $\text{~~~~~~~~~~~~~~}$ $\text{8) 4x(2x - 1) + 1 - 2x}$ = $\text{4x(2x - 1) - (2x - 1)}$ = $\text{(2x - 1)(4x - 1)}$ $\text{~~~~~~~~~~~~~~}$ $\text{9) 2x²(x - y) - x + y}$ = $\text{2x²(x - y) - (x - y)}$ = $\text{(x - y)(2x² - 1)}$ $\text{~~~~~~~~~~~~~~}$ $\text{10) 3x(x - y) - 3(y - x)}$ = $\text{3x(x - y) - 3(-x + y)}$ = $\text{3x² - 3xy + 3x - 3y}$ = $\text{(3x² + 3x) - (3xy + 3y)}$ = $\text{3x(x + 1) - 3y(x + 1)}$ = $\text{(x + 1)(3x - 3y)}$ = $\text{3(x - y)(x + 1)}$
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