Question

Разложите на множители с помощью формул сокращ.умножения: 1) -m2+16n2 2)36a2-49 3)64-144x2 4)9m2-81n2 5) -225d2+121b2 6)0,64n2-0,25m2 7)9-b2c2 8)4a2b2-1 9)81c2d2-36a2 10)4x4-25b8 11)64-a4b4 12)16b2c12-0,25 13)0?81p8m4-0,01x14 14)(x+3)2 - 1 15)64-(b+1)2 16) (4a-3)2 - 16 17)(5a-3b)2 - 25b2 18)9-(7+3d)2 19)(m-n)2 - (m+n)2 20) (4c-x)2 - (2c+3x)2 Помогите пожалуйста очень нужно:((((((((((

Answer 1

1) (4n-m)(4n+m)
2) (6a-7)(6a+7)
3) (8-12x)(8+12x)
4) (3m-9n)(3m+9n)
5) (11b-15d)(11b+15d)
6) (0.8n-0.5m)(0.8n+0.5m)
7) (3-bc)(3+bc)
8) (2ab-1)(2ab+1)
9) (9cd-6a)(9cd+6a)
10) (2x²-5b⁴)(2x²+5b⁴)
11) (8-a²b²)(8+a²b²)
12) (4bc⁶-0.5)(4bc⁶+0.5)
13) (0.9p⁴m²-0.1x⁷)(0.9p⁴m²+0.1x⁷)
14) (x+3-1)(x+3+1)=(x+2)(x+4)
15) (8-b-1)(8+b+1)=(7-b)(9+b)
16) (4a-3-4)(4a-3+4)=(4a-7)(4a+1)
17) (5a-3b-5b)(5a-3b+5b)=(5a-8b)(5a+2b)
18) (3-7-3d)(3+7+3d)=(-4-3d)(10+3d)
19) (m-n-m-n)(m-n+m+n)=-2n*2m=-4mn
20) (4c-x-2c-3x)(4c-x+2c+3x)=(2c-4x)(6c+2x)=2(c-2x)*2(3c+x)=
       =4(c-2x)(3c+x)

Answer 2

) -m2+16n2= (4n-m)*(4n+m)
2)36a2-49=(6a-7)*(6a+7)
3)64-144x2=(8-12x)(8+12x)
4)9m2-81n2=(3m-9n)(3m+9n)
5) -225d2+121b2= (11b-15d)(11b-15d)
6)0,64n2-0,25m2=(0,8n-0,5m)(0,8n+0,5m)
7)9-b2c2=(3-bc)(3+bc)
8)4a2b2-1=(2ab-1)(2ab+1)
9)81c2d2-36a2=(9cd-6a)(9cd+6a)
10)4x4-25b8 не понять степени(x4;b8-?)4x⁴-25b⁸=  (2x²-5b⁴)(2x²+5b⁴)
11)64-a⁴b⁴=(8-a²b²)(8+a²b²)
12)16b²c¹²-0,25=(4bc⁶-0.5)(4bc⁶+0.5)
13)0,81p⁸m⁴-0,01x¹⁴=(0,9p⁴m²-0,1x⁷)(0,9p⁴m²-0,1x⁷)
14)(x+3)² - 1=(x+3-1)(x+3+1)=(x+2)(x+4)
15)64-(b+1)²=(8-b-1)(8+b+1)=(7-b)(9+b)
16) (4a-3)² - 16= (4a-3- 4)(4a-3+ 4)=(4a-7)(4a+1)
17)(5a-3b)² - 25b²=(5a-3b - 5b)(5a-3b +5b)=(5a-8b)(5a+ 2b)
18)9-(7+3d)²=(3-7-3d)(3+7+3d)=(-4-3d)(10+3d)
19)(m-n)2 - (m+n)2=(m-n - m-n)(m-n +m+n)=-2n*2m=-4mn
20) (4c-x)2 - (2c+3x)2=(4c-x - 2c-3x)(4c-x + 2c+3x)=(2c-4x)(6c+2x)=
    =4(c-2x)(3c+x)

Answer 3

1) -m^2 + 16n^2 = -(m-4n)(m+4n) 2) 36a^2 - 49 = (6a+7)(6a-7) 3) 64 - 144x^2 = (8-12x)(8+12x) 4) 9m^2 - 81n^2 = 9(m-3n)(m+3n) 5) -225d^2 + 121b^2 = -(15d+11b)(15d-11b) 6) 0.64n^2 - 0.25m^2 = 0.8(n-0.5m)(n+0.5m) 7) 9-b^2c^2 = (3-bc)(3+bc) 8) 4a^2b^2 - 1 = (2ab-1)(2ab+1) 9) 81c^2d^2 - 36a^2 = (9cd-6a)(9cd+6a) 10) 4x^4 - 25b^8 = (2x^2-5b^4)(2x^2+5b^4) 11) 64-a^4b^4 = (8-ab^2)(8+ab^2)(8-a^2b)(8+a^2b) 12) 16b^2c^12 - 0.25 = 0.25(64b^2c^12-1) = 0.25(8bc^6-1)(8bc^6+1) 13) 0.81p^8m^4 - 0.01x^14 = 0.9pm^2-0.1x^7)(0.9pm^2+0.1x^7) 14) (x+3)^2 - 1 = (x+2)(x+4) 15) 64 - (b+1)^2 = (8-b-1)(8+b+1) = (7-b)(9+b) 16) (4a-3)^2 - 16 = (4a-7)(4a+1) 17) (5a-3b)^2 - 25b^2 = (5a-3b-5b)(5a-3b+5b) = (5a-8b)(5a+2b) 18) 9 - (7+3d)^2 = (3-7-3d)(3+7+3d) = (-4-3d)(10+3d) 19) (m-n)^2 - (m+n)^2 = (m-n-m-n)(m-n+m+n) = (-2m)(2n) = -4mn 20) (4c-x)^2 - (2c+3x)^2 = (4c-x-2c-3x)(4c-x+2c+3x) = (2c-4x)(6c+2x)