1) Express as the difference of two squares :
a) 85 x 15
b) 152 x 148
c) 74 x 66
d) (3a + 2b) (a + 4b)
e) (2a +b)(a + 2b)
Answers
Answered by
1
Answer 22496
Step-by-step explanation:
Answered by
0
Answer:
22495 is the answer
Step-by-step explanation:
8
and
4
Explanation:
Let the 2 numbers be x and y with x > y
⇒
x
+
y
=
12
→
(
1
)
←
sum of 2 numbers
⇒
x
−
y
=
4
→
(
2
)
←
difference of numbers
Adding the 2 equations, term by term on both sides, will eliminate y leaving an equation in x that we can solve.
⇒
(
1
)
+
(
2
)
gives
(
x
+
x
)
+
(
−
y
+
y
)
=
(
4
+
12
)
⇒
2
x
=
16
divide both sides by 2
2
x
2
=
16
2
⇒
x
=
8
Substitute this value into equation ( 1 ) and solve for y
⇒
8
+
y
=
12
⇒
y
=
12
−
8
=
4
Thus the 2 numbers are
8
and
4
I hope that this helps you
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