1.(2x+y)^2-(x+2y)^22.(p-4)(p+1)+3p3.3ax^2-3ay24.12a(x^2+y^2)-18b(x^2+y^2)5.-a^5+a6.3(m+n)^2-27n^27.25(x+y)^2-9(x-y)^2还有一个 先分解因式,再计算 πR1^2+πR2^2+πR3^2,其中R1=4 R2=8 R3=10 π取3.14

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/26 16:22:17
1.(2x+y)^2-(x+2y)^22.(p-4)(p+1)+3p3.3ax^2-3ay24.12a(x^2+y^2)-18b(x^2+y^2)5.-a^5+a6.3(m+n)^2-27n^27.2

1.(2x+y)^2-(x+2y)^22.(p-4)(p+1)+3p3.3ax^2-3ay24.12a(x^2+y^2)-18b(x^2+y^2)5.-a^5+a6.3(m+n)^2-27n^27.25(x+y)^2-9(x-y)^2还有一个 先分解因式,再计算 πR1^2+πR2^2+πR3^2,其中R1=4 R2=8 R3=10 π取3.14
1.(2x+y)^2-(x+2y)^2
2.(p-4)(p+1)+3p
3.3ax^2-3ay2
4.12a(x^2+y^2)-18b(x^2+y^2)
5.-a^5+a
6.3(m+n)^2-27n^2
7.25(x+y)^2-9(x-y)^2
还有一个 先分解因式,再计算 πR1^2+πR2^2+πR3^2,其中R1=4 R2=8 R3=10 π取3.14

1.(2x+y)^2-(x+2y)^22.(p-4)(p+1)+3p3.3ax^2-3ay24.12a(x^2+y^2)-18b(x^2+y^2)5.-a^5+a6.3(m+n)^2-27n^27.25(x+y)^2-9(x-y)^2还有一个 先分解因式,再计算 πR1^2+πR2^2+πR3^2,其中R1=4 R2=8 R3=10 π取3.14
1.(2x+y)^2-(x+2y)^2
=(2x+y+x+2y)(2x+y-x-2y)
=(3x+3y)(x-y)
=3(x+y)(x-y)
2.(p-4)(p+1)+3p
=p²-3p-4+3p
=p²-4
=(p+2)(p-2)
3.3ax^2-3ay2
=3a(x²-y²)
=3a(x+y)(x-y)
4.12a(x^2+y^2)-18b(x^2+y^2)
=6(x²+y²)(2a-3b)
5.-a^5+a
=-a(a^4-1)
=-a(a²+1)(a²-1)
=-a(a²+1)(a+1)(a-1)
6.3(m+n)^2-27n^2
=3[(m+n)²-(3n)²]
=3(m+n+3n)(m+n-3n)
=3(m+4n)(m-2n)
7.25(x+y)^2-9(x-y)^2
=[5(x+y)]²-[3(x-y)]²
=(5x+5y+3x-3y)(5x+5y-3x+3y)
=(8x+2y)(2x+8y)
=8(4x+y)(x+4y)
问题补充:
还有一个 先分解因式,再计算 πR1^2+πR2^2+πR3^2,其中R1=4 R2=8 R3=10 π取3.14
πR1^2+πR2^2+πR3^2
=π(R1^2+R2^2+R3^2)
=3.14(16+64+100)
=565.2

1. (2x+y)^2-(x+2y)^2=(2x+y+x+2y)*(2x+y-x-2y)=3(x+y)(x-y)
2. (p-4)(p+1)+3p=p^2-4p+p-4+3p=p^2-4=(p-2)(p+2)
3. 3ax^2-3ay2=3a(x^2-y^2)=3a(x+y)(x-y)
4. 12a(x^2+y^2)-18b(x^2+y^2)=6(2a-3b)(...

全部展开

1. (2x+y)^2-(x+2y)^2=(2x+y+x+2y)*(2x+y-x-2y)=3(x+y)(x-y)
2. (p-4)(p+1)+3p=p^2-4p+p-4+3p=p^2-4=(p-2)(p+2)
3. 3ax^2-3ay2=3a(x^2-y^2)=3a(x+y)(x-y)
4. 12a(x^2+y^2)-18b(x^2+y^2)=6(2a-3b)(x^2+y^2)
5. -a^5+a=-a(a^4-1)=-a(a^2+1)(a^2-1)=-a(a^2+1)(a-1)(a+1)
6. 3(m+n)^2-27n^2=3(m+n+3n)(m+n-3n)=3(m+4n)(m-2n)
7. 25(x+y)^2-9(x-y)^2=(5x+5y)^2-(3x-3y)^2=(5x+5y-3x+3y)(5x+5y+3x-3y)=4(x+4y)(4x-y)
πR1^2+πR2^2+πR3^2=3.14(4*4+8*8+10*10)=565.2
希望可以帮到你。

收起

1)(2x+y)^2-(x+2y)^2=(2x+y+x+2y)(2x+y-(x+2y))=(3x+3y)(x-y)=3(x-y)(x+y)
2)(p-4)(p+1)+3p=(p-1-3)(p+1)=(p-1)(p+1)-3p-3+3p=p²-4=(p-2)(p+2
3)3ax^2-3ay2=3a(x²-y²)=3a(x-y)(x+y)

全部展开

1)(2x+y)^2-(x+2y)^2=(2x+y+x+2y)(2x+y-(x+2y))=(3x+3y)(x-y)=3(x-y)(x+y)
2)(p-4)(p+1)+3p=(p-1-3)(p+1)=(p-1)(p+1)-3p-3+3p=p²-4=(p-2)(p+2
3)3ax^2-3ay2=3a(x²-y²)=3a(x-y)(x+y)

4)12a(x^2+y^2)-18b(x^2+y^2)=(12a-18b)(x²+y²)=6(2a-3b)(x²+y²)
5)-a^5+a=a(1-a^4)=a(1+a²)(1-a²)=a(1+a)(1+a²)(1-a)
6)3(m+n)^2-27n^2=3((m+n)²-(3n)²)=3(m+n+3n)(m+n-3n)=3(m+4n)(m-2n)
7) 25(x+y)^2-9(x-y)^2=(5(x+y))²-(3(x-y))²=(5x+5y+3x-3y)(5x+5y-3x+3y)=4(4x+y)(x-4y)

收起