Question

№1Розкройте дужки.5⋅(а+11)c⋅(7-12d)6⋅(2n+m)(n-m)⋅15p3⋅(5p+k+6t)(2p-4k+6t)⋅2a№2Вынесите общий множитель за скобки9a+9b7c+14d18n+12m3p+9k+27tКогда будете решать укажите номер задание, и плиз решите по скореее очень нужно..зделаю лучшим ответ и поставлю спасибо

Answer 1

№1
5а+55
7с-12сd
12n+6m
15pn-15pm
15p+3k+18t
4ap-8ak+12at
№2
3(3a+3b)
7(c-2d)
6(3n-4m)
3(p+3k+9t)

Answer 2

Task 1: Розкройте дужки

To expand the brackets, we need to apply the distributive property, which states that for any numbers or variables a, b, and c, the expression a(b + c) is equal to ab + ac.

1. 5⋅(а+11) - Applying the distributive property, we get: 5⋅а + 5⋅11 = 5а + 55

2. c⋅(7-12d) - Applying the distributive property, we get: c⋅7 - c⋅12d = 7c - 12cd

3. 6⋅(2n+m) - Applying the distributive property, we get: 6⋅2n + 6⋅m = 12n + 6m

4. (n-m)⋅15p - Applying the distributive property, we get: 15p⋅n - 15p⋅m = 15pn - 15pm

5. 3⋅(5p+k+6t) - Applying the distributive property, we get: 3⋅5p + 3⋅k + 3⋅6t = 15p + 3k + 18t

6. (2p-4k+6t)⋅2a - Applying the distributive property, we get: 2a⋅2p - 2a⋅4k + 2a⋅6t = 4ap - 8ak + 12at

Therefore, the expanded expressions are: 1. 5⋅(а+11) = 5а + 55 2. c⋅(7-12d) = 7c - 12cd 3. 6⋅(2n+m) = 12n + 6m 4. (n-m)⋅15p = 15pn - 15pm 5. 3⋅(5p+k+6t) = 15p + 3k + 18t 6. (2p-4k+6t)⋅2a = 4ap - 8ak + 12at

Task 2: Вынесите общий множитель за скобки

To factor out the common factor, we need to find the greatest common factor (GCF) of the terms inside the parentheses and then divide each term by the GCF.

1. 9a + 9b - The GCF of 9a and 9b is 9. Dividing each term by 9, we get: 9(a + b)

2. 7c + 14d - The GCF of 7c and 14d is 7. Dividing each term by 7, we get: 7(c + 2d)

3. 18n + 12m - The GCF of 18n and 12m is 6. Dividing each term by 6, we get: 6(3n + 2m)

4. 3p + 9k + 27t - The GCF of 3p, 9k, and 27t is 3. Dividing each term by 3, we get: 3(p + 3k + 9t)

Therefore, the factored expressions are: 1. 9a + 9b = 9(a + b) 2. 7c + 14d = 7(c + 2d) 3. 18n + 12m = 6(3n + 2m) 4. 3p + 9k + 27t = 3(p + 3k + 9t)

I hope this helps! Let me know if you have any further questions.