X²y²+10xy+25
a³b³-c³
36a²-b²
Answers
Answered by
0
Step-by-step explanation:
Explanation:
Let,
a= 8, b= -10, c=-25
a
=
8
,
b
=
−
10
,
c
=
−
25
When you multiply a and c together you get , -200
You then need to find two numbers that when you multiply them you get -200 and when you add them you get -10.
Those two numbers are, -20 and 10
From there,
8x^2 -20xy+10xy-25y^2
8
x
2
−
20
x
y
+
10
x
y
−
25
y
2
Break the expression into groups
(8x^2 -20xy)+ (10xy-25y^2)
(
8
x
2
−
20
x
y
)
+
(
10
x
y
−
25
y
2
)
Factorise further
4x(2x+5y) +5y(2x+5y)
4
x
(
2
x
+
5
y
)
+
5
y
(
2
x
+
5
y
)
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