Question

利用乘法公式进行计算

(a²-b²)÷(a+b)
[(a+b)²-4ab]÷(a-b)²
(a⁴-b⁴)÷(a²+b²)÷(a+b)
急~！！！高分，还有了望课外，分数再算
多项式6x的5次-15x⁴+3x³-3x²+x+1除以3x²，余式为x+1，，求商式

Answer 1

(a²-b²)÷(a+b)
=[(a+b)(a-b)]÷(a+b)
=a-b

[(a+b)²-4ab]÷(a-b)²
=[a²+2ab+b²-4ab]÷(a-b)²
=[a²-2ab+b²]÷(a-b)²
=(a-b)²÷(a-b)²
=1

(a⁴-b⁴)÷(a²+b²)÷(a+b)
=[(a²-b²)(a²+b²)]÷(a²+b²)÷(a+b)
=(a²-b²)÷(a+b)
=[(a-b)(a+b)]÷(a+b)
=a-b

6x的5次-15x⁴+3x³-3x²+x+1除以3x²，余式为x+1

6x的5次-15x⁴+3x³-3x²+x+1-(x+1)
=6x的5次-15x⁴+3x³-3x²
=3x²*[2x³-5x²+x-1]

所以 商=2x³-5x²+x-1

Answer 2

(a²-b²)÷(a+b)
=(a+b)(a-b)÷(a+b)
=a-b

[(a+b)²-4ab]÷(a-b)²
=(a²+2ab+b²-4ab]÷(a-b)²
=(a-b)²÷(a-b)²
=1

(a⁴-b⁴)÷(a²+b²)÷(a+b)
=(a²+b²)(a²-b²)÷(a²+b²)÷(a+b)
=(a²-b²)÷(a-b)
=(a+b)(a-b)÷(a+b)
=a-b

Answer 3

1、（a²-b²)÷(a+b)=（a-b)（a+b)÷(a+b)=a-b
2、(a-b)²÷(a-b)²=1
3、(a²+b²)（a²-b²）÷(a²+b²)÷(a+b)
=（a²-b²)÷(a+b)
=a-b

Answer 4

（a²-b²)÷(a+b)
=(a+b)(a-b)÷(a+b)
=a-b
[(a+b)²-4ab]÷(a-b)²
=[a²+b²+2ab-4ab]÷(a-b)²
=[a²-2ab+b²]÷(a-b)²
=(a-b)²÷(a-b)²
=1
(a^4-b^4)÷(a²+b²)÷(a+b)
=(a²+b²)(a²-b²)÷[(a²+b²)(a+b)]
=(a+b)(a-b)÷(a+b)
=a-b
求多项式的商：
商式为：
[（6x^5-15x^4+3x³-3x²+x+1)-(x+1)]÷3x²
=(6x^5-15^4+3x³-3x²)÷3x²
=2x³-5x²+x-1

Answer 5

(a-b)(a+b))÷(a+b)=a-b
(a-b)²÷(a-b)²=1
(a²+b²)(a-b)(a+b)÷(a²+b²)÷(a+b)=a-b

Answer 6

第一题：(a2-b2)÷(a+b)=(a+b)(a-b)÷(a+b)=a-b
第二题：[(a+b)2-4ab]÷(a-b)2=[a2-2ab+b2]÷(a-b)2=(a-b)2÷(a-b)2=1
第三题：(a?-b?)÷(a2+b2)÷(a+b)=(a2+b2)(a+b)(a-b)÷(a2+b2)÷(a+b)=a-b

Answer 7

1 （a+b）(a-b) / (a+b)=a-b
2 [a^2 + 2ab + b^2 - 4ab]/ (a-b)^2 = (a-b)^2 / (a-b)^2 =1
3 (a²+b²)(a²-b²) / (a²+b²) / (a+b) = (a+b)(a-b)/(a+b)=a-