八下數學分解因式的題 (m+n)²;-n²; 49(a-b)²;-16(a+b)²; (2x+y)²;-(x+2y)²; 1/3m²;-3n²; (a+b)²;-(a-b)²; (9a+4b)²;-(3a-b)²;

八下數學分解因式的題 (m+n)²;-n²; 49(a-b)²;-16(a+b)²; (2x+y)²;-(x+2y)²; 1/3m²;-3n²; (a+b)²;-(a-b)²; (9a+4b)²;-(3a-b)²;


(m+n)²;-n²;
=(m+n+n)(m+n-n)
=m(m+2n)
49(a-b)²;-16(a+b)²;
[7(a-b)+4(a+b)][7(a-b)-4(a+b)]
=(11a-3b)(3a-11b)
(2x+y)²;-(x+2y)²;
=[(2x+y)+(x+2y)][(2x+y)-(x+2y)]
=(3x+3y)(x-y)
=3(x+y)(x-y)
1/3m²;-3n²;
=1/3(m²;-9n²;)
=1/3(m+3n)(m-3n)
(a+b)²;-(a-b)²;
=[(a+b)+(a-b)][(a+b)-(a-b)]
=2a×2b
=4ab
(9a+4b)²;-(3a-b)²;
=[(9a+4b)+(3a-b)][9a+4b)-(3a-b)]
=(12a+3b)(6a+5b)
=3(4a+b)(6a+5b)



八下數學分解因式
(2x-5)^2=9這種類型的我貌似不會請會的朋友告訴下詳細過程還有一道(2x-1)(3x+4)=2x-1


第一題
9是3的平方,倒到左邊,將2x-5看成是一個數,那(2x-5)^2-3^2就可以用平方差方法分解因式了(2x-5+3)(2x-5-3)=0
第二題
將2x-1倒到左邊,得(2x-1)(3x+4)-(2x-1)=0
2x-1兩項都有,可以選取公因式得(2x-1)(3x+4-1)=0



利用分解因式
(1)202²;+198²;
(2)1998²;-1997²;×1999
(3)、(2+1)(2²;+1)(2⁴;+1)(2^8+1)····(2^128+1)


(1)202²;+198²;
=(200+2)²;+(200-2)²;
=40000+800+4+40000-800+4
=80000+8
=80008
(2)1998²;-1997²;×1999
=1998²;-(1998-1)(1998+1)
=1998²;-(1998²;-1)
=1
(3)、(2+1)(2²;+1)(2⁴;+1)(2^8+1)····(2^128+1)
=(2-1)(2+1)(2²;+1)(2⁴;+1)(2^8+1)····(2^128+1)
=(2^2-1)(2²;+1)(2⁴;+1)(2^8+1)····(2^128+1)
=(2^4-1)(2⁴;+1)(2^8+1)····(2^128+1)
=……
=2^256-1