1樓:自由的數學鳥
^解:x²+xy
=x(x+y)
ax²-4ax+4a
=a(x²-4x+4)
=a(x-2)²
x^回4-16y^4
=(x²+y²)(x²-y²)
=(x²+y²)(x+y)(x-y)
(x-1)²-9
=(x-1)²-3²
=(x-1+3)(x-1-3)
=(x+2)(x-4)
(2a-b)²+8ab
=4a²-4ab+b²+8ab
=4a²+4ab+b²
=(2a)²+2×
答2a×b+b²
=(2a+b)²
9(a-b)²-25(a+b)²
=[3(a-b)]²-[5(a+b)]²
=[3(a-b)+5(a+b)][3(a-b)-5(a+b)]=(3a-3b+5a+5b)(3a-3b-5a-5b)=(8a+2b)(-2a-8b)
=-4(4a+b)(a+4b)
2樓:匿名使用者
^^(1)、x^du2+xy =x(x+y)
(2)、zhiax^dao2-4ax+4a=a(x-2)^2
(3)、 x^4-16y^4=(x^2 +4y^2)(x+2y)(x-2y)
(4)、 (x-1)^2-9=(x-1+3)(x-1-3)=(x+2)(x-4)
(5) 、(2a-b)^2+8ab=4a^2+4ab+b^2=(2a+b)^2
(6)、9(a-b)^2-25(a+b)^2=[3(a-b)+5(a+b)][3(a-b)-5(a+b)]=(8a-2b)(-2a-8b)=-4(4a-b)(a+4b)
3樓:數學愛好
^x^內2+xy =x(x+y)
ax^容2-4ax+4a =a(x-2)²
x^4-16y^4=(x²+4y²)(x²-4y²)=(x²+4y²)(x+2y)(x-2y)
(x-1)^2-9 =(x-1+3)(x-1-3)=(x+2)(x-4)
(2a-b)^2+8ab =4a²-4ab+8ab+b²=(2a+b)²
9(a-b)^2-25(a+b)^2=(3a-3b+5a+5b)(3a-3b-5a-5b)=(8a+2b)(-2a-8b)=-4(4a+b)(a+4b)
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