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)x³-9x (6)16x^4-1 (7)6xy²-9x²y-y³](/uploads/image/z/1002635-35-5.jpg?t=%E5%88%86%E8%A7%A3%E5%9B%A0%E5%BC%8F%EF%BC%9A%EF%BC%881%EF%BC%8925x%26%23178%3B-16y%26%23178%3B+%EF%BC%882%EF%BC%89%EF%BC%88a-b%EF%BC%89%EF%BC%88x-y%EF%BC%89-%EF%BC%88b-a%EF%BC%89%EF%BC%88x%2By%EF%BC%89%E3%80%80%E3%80%80%EF%BC%883%EF%BC%89a%26%23178%3B-4ab%2B4b%26%23178%3B%EF%BC%884%EF%BC%894%2B12%EF%BC%88x-y%EF%BC%89%2B9%EF%BC%88x-y%EF%BC%89%E3%80%80%E3%80%80%EF%BC%885%EF%BC%89x%26%23179%3B-9x%E3%80%80%E3%80%80%EF%BC%886%EF%BC%8916x%EF%BC%BE4-1%E3%80%80%E3%80%80%EF%BC%887%EF%BC%896xy%26%23178%3B-9x%26%23178%3By-y%26%23179%3B)
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