Question

Примените распределительный закон умножения (раскройте скобки): Образец: а) (x + 6) ∙ 30 = 30 (x + 6) = 30x + 30 ∙ 6 = 30x + 180;б) 4(7 + y);в) (10 – а) ∙ 5;г) 11(m-2);д) 12(x + y);e) 5(2m + 7).ПОМАГИТЕ РЕШИТЬ.​

Answer 1

Б) 4(7 + y) = 28 + 4y

в) (10 - a) * 5 = 5(10 - a) = 50 - 5a

г) 11(m - 2) = 11m - 22

д) 12(x + y) = 12x + 12y

е) 5(2m + 7) = 10m + 35

Answer 2

Applying the Distributive Law of Multiplication

To apply the distributive law of multiplication, we need to multiply each term inside the parentheses by the term outside the parentheses. Let's go through each example step by step:

a) (x + 6) * 30 - Multiply each term inside the parentheses by 30: 30x + 30 * 6 - Simplify: 30x + 180

b) 4(7 + y) - Multiply each term inside the parentheses by 4: 4 * 7 + 4 * y - Simplify: 28 + 4y

c) (10 - a) * 5 - Multiply each term inside the parentheses by 5: 5 * 10 - 5 * a - Simplify: 50 - 5a

d) 11(m - 2) - Multiply each term inside the parentheses by 11: 11m - 11 * 2 - Simplify: 11m - 22

e) 12(x + y) - Multiply each term inside the parentheses by 12: 12x + 12y

f) 5(2m + 7) - Multiply each term inside the parentheses by 5: 10m + 35

So, the expanded forms of the given expressions are: a) 30x + 180 b) 28 + 4y c) 50 - 5a d) 11m - 22 e) 12x + 12y f) 10m + 35

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