Đáp án+Giải thích các bước giải:
g, 5(x² + y²)² - 20x²y²
= 5($x^{4}$ + 2x²y² + $y^{4}$ ) - 20x²y²
= 5.($x^{4}$ + 2x²y² + $y^{4}$ - 4x²y²)
= 5.($x^{4}$ - 2x²y² + $y^{4}$)
= 5.(x² - y²)²
h, x² + x - 12
= (x² - 3x) + (4x - 12)
= x.(x - 3) + 4.(x - 3)
= (x - 3).(x + 4)
k, 10$x^{4}$ y² - 10x³y² - 10x²y² + 10xy²
= (10$x^{4}$ y² - 10x³y²) - (10x²y² - 10xy²)
= 10x³y² .(x - 1) - 10xy².(x - 1)
= (x - 1).(10x³y² - 10xy²)
= 10xy²(x - 1).(x - 1)
= 10xy²(x - 1)²
m, 2$x^{8}$ - 32
= 2$x^{8}$ - 2$x^{5}$
= 2$x^{5}$ . (2$x^{3}$ - 1)