Question

100 POINTS! Please explain with examples step by step I'm new to this..

1. 4(a+5) - 5(a^2-4a+7)

2. 3(c-4) - 5(c^2+4c-8)

Answer 1

1. -5a^2+24a-15

2. -5c^2-17c+28

Explanation:

1.

Distribute: 4a+20-5a^2+20a-35

Subtract the numbers: 4a-15-5a^2+20a

Combine like terms: 24a-15-5a^2

Rearrange terms: -5a^2+24a-15

2.

Distribute: 3c-12-5c^2-20c+40

Add the numbers: 3c+28-5c^2-20c

Combine like terms: -17c+28-5c^2

Rearrange terms: -5c^2-17c+28

Hope this helped!!!

Good luck!!!

Answer 2

first one:

Let's simplify the expression step by step:

4(a+5) - 5(a^2-4a+7)

= 4a + 20 - 5a^2 + 20a - 35 (distributing the 4 and -5)

= -5a^2 + 24a - 15 (combining like terms 4a and 20a, and combining 20 and -35)

So the simplified expression is -5a^2 + 24a - 15.

second one:

3(c-4) - 5(c^2+4c-8)

= 3c - 12 - 5c^2 - 20c + 40 (distributing the 3 and -5)

= -5c^2 - 17c + 28 (combining like terms 3c and -20c, and combining -12 and 40)

So the simplified expression is -5c^2 - 17c + 28.