Question

这几题怎么做 因式分解

Answer 1

①4aˆ2bc-8ab+32bˆ2
=4b(a²c-4a+8b)

②2xˆ3-18xyˆ2
=2x(x²-9y²)
=2x(x+3y)(x-3y)

③-yˆ3-1/4y+yˆ2
=-y(y²-y+1/4)
=-y(y-1/2)²

④341ˆ2-159ˆ2
=(341+159)(341-159)
=500×182
=91000

⑤225-15×26+13ˆ2
=15²-2×15×13+13²
=(15-13)²
=4

解方程：①-8xˆ2+10x=0
-2x(4x-5)=0
x=0或x=5/4

②4xˆ2=（3x-1）ˆ2
4x²-(3x-1)²=0
(4x+3x-1)(4x-3x+1)=0
(7x-1)(-x+1)=0
x=1/7或x=1

计算：[（3x-7）ˆ2-（x+5）ˆ2]÷（4x-24）
=(3x-7+x+5)(3x-7-x-5)÷[4(x-6)]
=(4x-2)(2x-12)÷[4(x-6)]
=4(2x-1)(x-6)÷[4(x-6)]
=2x-1
求采纳为满意回答。