Question

1) (c+8)(c+2) 2) (B+5)(B-2)​

Answer 1

1)(с+8)(с+2)=с²+2с+8с+16=с²+10с+16

2)(b+5)(b-2)=b²-2b+5b-10=b²+3b-10

Answer 2

To simplify the given expressions, we'll apply the distributive property to expand the expressions.

1. (c + 8)(c + 2)

To expand this expression, we'll use the distributive property, which states that for any numbers a, b, and c:

(a + b) * c = a * c + b * c

Now let's apply it to our expression:

(c + 8)(c + 2) = c * c + c * 2 + 8 * c + 8 * 2

Now, simplify each term:

c * c = c^2 (c squared) c * 2 = 2c

8 * c = 8c 8 * 2 = 16

Combine the like terms:

c^2 + 2c + 8c + 16

Finally, combine the like terms:

c^2 + 10c + 16

So, the simplified expression is: c^2 + 10c + 16

2. (B + 5)(B - 2)

Using the distributive property, we'll expand this expression:

(B + 5)(B - 2) = B * B + B * (-2) + 5 * B + 5 * (-2)

Now, simplify each term:

B * B = B^2 (B squared) B * (-2) = -2B

5 * B = 5B 5 * (-2) = -10

Combine the like terms:

B^2 - 2B + 5B - 10

Finally, combine the like terms:

B^2 + 3B - 10

So, the simplified expression is: B^2 + 3B - 10