因式分解 16a^2x-25y-25x+16a^2y

解答

因式分解

16 a^{2} x - 25 y - 25 x + 16 a^{2} y

(x + y) (4 a + 5) (4 a - 5)

求解步骤

16 a^{2} x - 25 y - 25 x + 16 a^{2} y

因式分解出通项

16 a^{2}

= 16 a^{2} (x + y) - 25 y - 25 x

因式分解出通项

25

= 16 a^{2} (x + y) - 25 (y + x)

因式分解出通项

(x + y)

= (x + y) (16 a^{2} - 25)

分解

16 a^{2} - 25 : (4 a + 5) (4 a - 5)

= (4 a + 5) (4 a - 5) (x + y)

f a c t or 15 (x^{2} y^{5})

f a c t or nm - n p + 2 m - 2 p

f (x) = (cos (6 x))^{2}

f a c t or 2 x + (- 1)

f a c t or \frac{x - 2}{x ^{2} - 4}