Ответ:
(7-m)(1+m); (3x-8)(3x+4); (1-x)(3x-1); (5a-6b)5a; (3x-6y)(3x+14y)
Объяснение:
1. 16-(m-3)²=4²-(m-3)²=(4-(m-3))(4+(m-3))=(4-m+3)(4+m-3)=(7-m)(1+m)
2. (3x-2)²-36=(3x-2)²-6²=(3x-2-6)(3x-2+6)=(3x-8)(3x+4)
3. x²-(2x-1)²=(x-(2x-1))(x+(2x-1))=(x-2x+1)(x+2x-1)=(1-x)(3x-1)
4. (5a-3b)²-9b²=(5a-3b)²-(3b)²=(5a-3b-3b)(5a-3b+3b)=(5a-6b)5a
5. (3x+4y)²-100y²=(3x+4y)²-(10y)²=(3x+4y-10y)(3x+4y+10y)=(3x-6y)(3x+14y)
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Answers & Comments
Ответ:
(7-m)(1+m); (3x-8)(3x+4); (1-x)(3x-1); (5a-6b)5a; (3x-6y)(3x+14y)
Объяснение:
1. 16-(m-3)²=4²-(m-3)²=(4-(m-3))(4+(m-3))=(4-m+3)(4+m-3)=(7-m)(1+m)
2. (3x-2)²-36=(3x-2)²-6²=(3x-2-6)(3x-2+6)=(3x-8)(3x+4)
3. x²-(2x-1)²=(x-(2x-1))(x+(2x-1))=(x-2x+1)(x+2x-1)=(1-x)(3x-1)
4. (5a-3b)²-9b²=(5a-3b)²-(3b)²=(5a-3b-3b)(5a-3b+3b)=(5a-6b)5a
5. (3x+4y)²-100y²=(3x+4y)²-(10y)²=(3x+4y-10y)(3x+4y+10y)=(3x-6y)(3x+14y)