Question

Применяя расприделительное свойство умножения , данные произведения запишите в виде суммы , разности : 2 (х×3) 4 (х-3) 9 (4+у) 5 (у-2) 6 (m+3) 7(n-8) 5 (a+7) 4 (b-3) Помагите решить

Answer 1

2 (х×3)=2×3х
4 (х-3)=4х-12
9 (4+у)=36+9у
5 (у-2)=5у-10
6 (m+3)=6m+18
7(n-8)=7n-56
5 (a+7)=5a+35
4 (b-3)=4b-12

Answer 2

Applying the Distributive Property of Multiplication

When applying the distributive property of multiplication, the given products can be expressed as a sum or difference. Let's break down the given products and express them accordingly:

1. 2(x×3) 2. 4(x-3) 3. 9(4+u) 4. 5(u-2) 5. 6(m+3) 6. 7(n-8) 7. 5(a+7) 8. 4(b-3)

To express these products as a sum or difference, we can apply the distributive property of multiplication. For example, the expression 2(x×3) can be expanded as 2*x*3, which equals 6x. Similarly, 4(x-3) can be expanded as 4*x - 4*3, which equals 4x - 12.

Let's express each of the given products as a sum or difference using the distributive property of multiplication.

Expressing the Given Products

1. 2(x×3) can be expressed as 6x. 2. 4(x-3) can be expressed as 4x - 12. 3. 9(4+u) can be expressed as 36 + 9u. 4. 5(u-2) can be expressed as 5u - 10. 5. 6(m+3) can be expressed as 6m + 18. 6. 7(n-8) can be expressed as 7n - 56. 7. 5(a+7) can be expressed as 5a + 35. 8. 4(b-3) can be expressed as 4b - 12.

Now, the given products have been expressed as a sum or difference using the distributive property of multiplication.

Final Expression

The final expression, after applying the distributive property of multiplication to the given products, is as follows:

6x + 4x - 12 + 36 + 9u + 5u - 10 + 6m + 18 + 7n - 56 + 5a + 35 + 4b - 12

This simplifies to:

10x + 9u + 5u + 6m + 7n + 5a + 4b + 29

Therefore, applying the distributive property of multiplication to the given products results in the expression 10x + 14u + 6m + 7n + 5a + 4b + 29.

I hope this helps! If you have further questions or need additional assistance, feel free to ask.