4(2p 3q)²-(3p-q)²

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已知集合P={4,5,6},Q={1,2,3},定义P+Q={X|X=p-q,p属于P,q属于Q},则集合P+Q的所有真

首先你要清楚P+Q的元素的个数,注意剔除重复的.4-1=3,4-2=2,4-3=1;5-1=4,5-2=3,5-3=2;6-1=5,6-2=4,6-3=3;所以P+Q的元素为1,2,3,4,5其真子集

因式分解(2p+q)(8p-3q)-2p(2p+q)

(2p+q)(8p-3q)-2p(2p+q)=(2p+q)(8p-3q-2p)=(2p+q)(6p-3q)=3(2p+q)(2p-q)

因式分解(p+2q)^2-2(p+2q)(p+3q)+(p+3q)^2

(p+2q)^2-2(p+2q)(p+3q)+(p+3q)^2=(p+2q-p-3q)²=(-q)²=q²

4(2p+3q)^2-(3p-q)^2 因式分解

平方差公式=[2(2p+3q)+(3p-q)][2(2p+3q)-(3p-q)]=(4p+6q+3p-q)(4p+6q-3p+q)=(7p+5q)(p+7q)

4(2p+3q)^2 -(3p-q)^2

4(2p+3q)^2-(3p-q)^2=16p^2+48pq+36q^2-9p^2+6pq-q^2=7p^2+54pq+35q^2如果本题有什么不明白可以追问,另外发并点击我的头像向我求助,请谅解,

因式分解:(3p+2q)(3p-2q)(9p^2+4q^2)

你这个已经是分解了除非是化简吧再问:恩,怎么做再答:解(3p+2q)(3p-2q)(9p^2+4q^2)=[(3p)^2-(2q)^2](9p^2+4q^2)=(9p^2-4q^2)(9p^2+4q^

分解因式:4(2p+3q)^2-(3p-q)^2

=(4p+6q+3p-q)(4p+6q-3p+q)=(7p+5q)(p+7q)

因式分解:4(2p+3q)^2-9(3p-q)^2

原式=(4p+6q)^2-(9p-3q)^2=(4p+6q+9p-3q)(4p+6q-9p+3q)=(13p+3q)(9q-5p)

4(2p+3q)^2-9(3p-q)^2 因式分解

4(2p+3q)^2-9(3p-q)^2=[2(2p+3q)+3(3p-q)][2(2p+3q)-3(3p-q)]=(4p+6q+9p-3q)(4p+6q-9p+3q)=(13p+3q)(9q-5p)

将[(p-q)³-2(q-p)²-2/3(q-p)]/ p-q/3(p≠q)化归为关于p、q的多项式

[(p-q)³-2(q-p)²-2/3(q-p)]/[(p-q)/3]=3(p-q)²-6(p-q)+2(p-q)

分解因式:4(2p+3q)^2-(3p-q)^2

4(2p+3q)^2-(3p-q)^2=[2(2p+3q)-(3p-q)][2(2p+3q)+(3p-q)]=(4p+6q-3p+q)(4p+6q+3p-q)=(p+7q)(7p+5q)

(p+2q)(2p-q)-(p+q)(p-q)

=(2p²-pq+4pq-2q²)-(p²-q²)=p²+3pq-q²

设p、q是两个数,规定p△q=4*q-(p+q)/2

那么8△m=4*8-(8+m)/2=10所以m=36

4(2p+3q)^2 - (3p-q)^2

(7p+5q)(p+7q)

(p-2q)^2-2(p+2q)(p+3q)+(p+3q)^2

解原式=(p²-4pq+4q²)-2(p²+5pq+6q²)+(p²+6pq+9q²)=(p²-2p²+p²)

已知集合p={4,5,6}Q={1,2,3} 定义P※Q={x|x=p-q,p∈P,q∈Q}则集合P※Q的所有真子集的个

p-q可能的取值是3,2,1,4,5就是说P※Q={1,2,3,4,5}有5个元素.所以真子集个数为2^5-1=32-1=31个

已知集合 P ={3,4} ,Q ={1,2} ,定义 P(+)Q = {x|x= p-q ,p∈P ,q∈Q },则集

P(+)Q中可以有2,1,33-1=23-2=14-1=34-2=3(重复)所以,套用真子集公式,2的n次方(n为元素个数,本题中有三个元素,所以n=3)答案是8

6p{(p+q)(p+q)}-4q(p+q)

6p{(p+q)(p+q)}-4q(p+q)=2(p+q)[3p(p+q)-2q]=2(p+q)(3p²++3pq-2q)