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!