數學難題!暑期功課!

2009-08-15 6:11 pm
化簡-3y²(2y-5)+4y(3y²+1).

展開(3y-1)(2y²+y-1)

展開(3x-2y)(2x+3y)

展開(x-y)(x+2y)

展開(2m-5)(m-4)

展開
(a)(x+y)(x²-xy+y²)

(b)(x-y)(x²+xy+y²)

回答 (2)

2009-08-15 6:50 pm
✔ 最佳答案
-3y²(2y-5)+4y(3y²+1)
=-6y^3-3y^2(5)+12y^3+4y(1)
=-6y^3-15y^2+12y^3+4y
=-6y^3-3y^2+4y


(3y-1)(2y²+y-1)
=3y(2y²+y-1)-1(2y²+y-1)
=6y^3+3Y^2-3y-2y^2-y+1
=6y^3+Y^2-4y+1

(3x-2y)(2x+3y)
=3x(2x+3y)-2y(2x+3y)
=6x^2+9xy-4xy-6y^2
=6x^2+5xy-6y^2

(x-y) (x+2y)
=x(x+2y) - y(x+2y)
=x^2+2xy-xy-2y^2
=x^2+xy-2y^2

(2m-5) (m-4)
=2m (m-4) -5 (m-4)
=2m^2-8m-5m+20
= 2m^2-13m+20

(x+y) (x²-xy+y²)

=x(x²-xy+y²) +y(x²-xy+y²)
=x^3-(x^2)y+xy^2+(x^2)y -xy^2+ y^3
=x^3+y^3


(x-y) (x²+xy+y²)
=x (x²+xy+y²) -y (x²+xy+y²)
=x^3+ (x^2)y+ xy^2 - (x^2)y - xy^2 -y^3
=x^3- y^3

:)
2009-08-15 7:09 pm
- 3-
Hello~
我係小學升中一~~

聽好...
+ + = +
- - = +
+ - = -
- + = -
OK??

** 6y(2y+7㎡)
= 6y‧2y + 6y‧7㎡
= 12y² + 42㎡y ←唔順...
= 42㎡y + 12y²
OK??

我識做 , 但我唔俾你睇!!

*** (a+b)²
= (a+b)(a+b)
= a² + 2ab + b²
OK??
= = 唉~算~我俾你睇答案!
**** (2m - 5)(m - 4) 展開
= 2m‧m - 2m‧4 - 5‧m + 5 x 4
= 2m² - 8m - 5m + 20
→= 2m² - 3m + 20 ←答案
OK??

─ω─ ∕88
參考: 早左學中一數學...


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