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Mathematics
Mathematics
Problem
Consider the polynomial
P
(
x
,
y
)
=
49
x
4
−
36
y
2
P(x,y)=49x^4-36y^2
P
(
x
,
y
)
=
49
x
4
−
36
y
2
. (i) Factorise
P
(
x
,
y
)
P(x,y)
P
(
x
,
y
)
completely. (ii) Using your factorised form, evaluate
P
(
1
,
1
3
)
P\bigl(1,\tfrac{1}{3}\bigr)
P
(
1
,
3
1
)
.
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