分解因式:(1)25x²-16y² (2)(a-b)(x-y)-(b-a)(x+y)  (3)a²-4ab+4b²(4)4+12(x-y)+9(x-y)  (5)x³-9x  (6)16x^4-1  (7)6xy²-9x²y-y³

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分解因式:(1)25x²-16y²(2)(a-b)(x-y)-(b-a)(x+y)  (3)a²-4ab+4b²(4)4+12(x-y)+9(x-y)  (5)

分解因式:(1)25x²-16y² (2)(a-b)(x-y)-(b-a)(x+y)  (3)a²-4ab+4b²(4)4+12(x-y)+9(x-y)  (5)x³-9x  (6)16x^4-1  (7)6xy²-9x²y-y³
分解因式:(1)25x²-16y² (2)(a-b)(x-y)-(b-a)(x+y)  (3)a²-4ab+4b²
(4)4+12(x-y)+9(x-y)  (5)x³-9x  (6)16x^4-1  (7)6xy²-9x²y-y³      (8)(2a-b)²+8ab

分解因式:(1)25x²-16y² (2)(a-b)(x-y)-(b-a)(x+y)  (3)a²-4ab+4b²(4)4+12(x-y)+9(x-y)  (5)x³-9x  (6)16x^4-1  (7)6xy²-9x²y-y³
(1)25x²-16y²=(5x+4y)*(5x-4y)
(2)(a-b)(x-y)-(b-a)(x+y)
=(a-b)[(x-y)+(x+y)]
=2x(a-b)
(3)a²-4ab+4b²=(a-2b)(a+2b)
4)4+12(x-y)+9(x-y)^2
=2^2+12(x-y)+[3(x-y)]^2
=[3(x-y)+2]^2
=(3x-3y+2)^2
(5)x³-9x =x(x^2-9) =x(x+3)(x-3)
(6)16x^4-1=(4x^2+1)(4x^2-1)=(4x^2+1)(2x+1)(2x-1)
(7)6xy²-9x²y-y³ =-y(y^2-6xy+9x^2)=-y(y-3x)^2
 (8)(2a-b)²+8ab=4a^2+b^2-4ab+8ab
= 4a^2+b^2+4ab=(2a+b)^2   

  • 25x^2-16y^2=(5x)^2-(4y)^2=(5x+4y)(5x-4y)

  • (a-b)(x-y)-(b-a)(x+y)=(a-b)(x-y)+(a-b)(x+y)=(a-b)(x-y+x+y)=(a-b)(2x)=2x(a-b)

  • a^2-4ab+4b^2=(a-2b)^2

  • 4+12(x-y)+9(x-y)=4+21(x+y)  这个题目是不是???

  • x^3-9x=x(x^2-9)=x(x+3)(x-3)

  • 16x^4-1=(4x^2+1)(4x^2-1)=(4x^2+1)(2x+1)(2x-1)

  • 6xy²-9x²y-y³=y(6xy-9x^2-y^2)=-y(y^2-6xy+9x^2)=-y(y-3x)^2

  • (2a-b)²+8ab=4a^2-4ab+b^2+8ab=4a^2+4ab+b^2=(2a+b)^2

(1)(4x+y)(4x-y)

(2)(a-b)(x-y-x-y)=-2y(a-b)

(3)(a-2b)²