Question

1. (a+3)^2 2. (n+6)^2 3 (b-9)^2 4. (2-m)^2 5.(7-t)^2

Answer 1

Надеюсь что все понятно.

Answer 2

1) a^2+6a+9
2) n^2+12n+36
3) b^2-18b+81
4) 4 - 4m +m^2
5) 49 - 14t + t^2

Answer 3

1. To expand the expression (a + 3)^2, we can use the formula for squaring a binomial, which is (a + b)^2 = a^2 + 2ab + b^2. Applying this formula to our expression:

(a + 3)^2 = a^2 + 2(a)(3) + 3^2 = a^2 + 6a + 9

So, the expanded form of (a + 3)^2 is a^2 + 6a + 9.

2. Similarly, to expand the expression (n + 6)^2, we can use the same formula:

(n + 6)^2 = n^2 + 2(n)(6) + 6^2 = n^2 + 12n + 36

The expanded form of (n + 6)^2 is n^2 + 12n + 36.

3. For (b - 9)^2:

(b - 9)^2 = b^2 + 2(b)(-9) + (-9)^2 = b^2 - 18b + 81

The expanded form of (b - 9)^2 is b^2 - 18b + 81.

4. Moving on to (2 - m)^2:

(2 - m)^2 = 2^2 + 2(2)(-m) + (-m)^2 = 4 - 4m + m^2

The expanded form of (2 - m)^2 is 4 - 4m + m^2.

5. Finally, for (7 - t)^2:

(7 - t)^2 = 7^2 + 2(7)(-t) + (-t)^2 = 49 - 14t + t^2

The expanded form of (7 - t)^2 is 49 - 14t + t^2.

I hope this provides a detailed explanation of the expansion of each expression. Let me know if you have any further questions!