remove the brackets and simplify

questions
a) 3(2a+5)+2(a+7)
b) 5(b+4)+10b
c) 4(2c+3)+3(c-3)
d) 8+6(d-2)
e) 6(5e+3)-4(2e+3)
f) 5(3f+2)-(f-5)

MY ANSWERS
a)6a+15+2a+14
8a+29

b)5b+20+10b
15b+20

c)8c+12+3c-9
11c-3

d)8+6d-12
I need to simplify more...how?

e)30e+18-8e
I need to simplify more...how?

f)15f+10-f-5
I need to simplify more...how?

i am shart

btw thanks for the help

shart gang fo eva

To simplify the expressions and remove the brackets, you need to apply the distributive property and combine like terms. Let's simplify each expression step-by-step:

a) 3(2a+5)+2(a+7)

Apply the distributive property:
= 3*2a + 3*5 + 2*a + 2*7
= 6a + 15 + 2a + 14

Combine like terms:
= 6a + 2a + 15 + 14
= 8a + 29

b) 5(b+4)+10b

Apply the distributive property:
= 5*b + 5*4 + 10b
= 5b + 20 + 10b

Combine like terms:
= 5b + 10b + 20
= 15b + 20

c) 4(2c+3)+3(c-3)

Apply the distributive property:
= 4*2c + 4*3 + 3*c - 3*3
= 8c + 12 + 3c - 9

Combine like terms:
= 8c + 3c + 12 - 9
= 11c - 3

d) 8+6(d-2)

You have already simplified it as much as possible. The expression does not contain any brackets that need to be removed.

e) 6(5e+3)-4(2e+3)

Apply the distributive property:
= 6*5e + 6*3 - 4*2e - 4*3
= 30e + 18 - 8e - 12

Combine like terms:
= 30e - 8e + 18 - 12
= 22e + 6

f) 5(3f+2)-(f-5)

Apply the distributive property:
= 5*3f + 5*2 - (f - 5)
= 15f + 10 - (f - 5)

Remember that when removing brackets with a negative sign in front, it changes the signs of all terms inside the brackets:
= 15f + 10 - f + 5

Combine like terms:
= 15f - f + 10 + 5
= 14f + 15

So the simplified expressions are:
a) 8a + 29
b) 15b + 20
c) 11c - 3
d) 8 + 6d - 12 (no further simplification possible)
e) 22e + 6
f) 14f + 15

d)8+6d-12

I need to simplify more...how?

e)30e+18-8e
I need to simplify more...how?

f)15f+10-f-5
I need to simplify more...how?

combine like terms:
example 8+6d-12=6d-4

I get confused when the plus and minus clash

are the rest correct

A & B are correct.

In C, the (-) sign should be (+) because 12 minus 9 is positive 3.

In D, combine the constants:
8 + 6d - 12
= 6d - 4

In E, combine the terms with variables:
30e + 18 - 8e
= 22e + 18

In F,
15f + 10 - f - 5
= 14f + 5

hope this helps :3

so,

e)38e+18

f)16f+15

right?

so you take away

got it!

thanks a lot bobpursely & jai :)