Answer:
(3x+1)(x+3) is the factorised form for the expression.
Step-by-step explanation:
:3
x
2
+
10
x
+
3
We can Split the Middle Term of this expression to factorise it.
In this technique, if we have to factorise an expression like
a
x
2
+
b
x
+
c
, we need to think of 2 numbers such that:
N
1
⋅
N
2
=
a
⋅
c
=
3
⋅
3
=
9
and,
N
1
+
N
2
=
b
=
10
After trying out a few numbers we get:
N
1
=
9
and
N
2
=
1
9
⋅
1
=
9
, and
9
+
(
1
)
=
10
3
x
2
+
10
x
+
3
=
3
x
2
+
9
x
+
1
x
+
3
=
3
x
(
x
+
3
)
+
1
(
x
+
3
)
(
3
x
+
1
)
(
x
+
3
)
is the factorised form for the expression.
is the factorised form for the expression.
Use the distributive property.
1/7(105 + r) = 20
15 + (1/7)r = 20
Then subtract each side of the equation by 15.
15 + (1/7)r = 20
(1/7)r = 5
Divide both sides by 1/7.
(1/7)r = 5
r = 35
So, the answer to this question is r is equal to 35.
Answer:
yes
Step-by-step explanation:
u={1,2,3,4,5,6,7,8,9}
m={2,4,6,8}
N={1,2,4,8}
O={2,4,6,8}
Now
M intersection (N intersection O) = (M intersection N) intersection O
or , {2,4,6,8} intersection {2,4,8} ={2,4,8}
intersection {2,4,6,8 }
:. {2,4,8} ={2,4,8}
