Multiply the monomial by the binomial and find the value of each for x=-1, y=0.25 and z=0.005:
(i) 15y2 (2-3x)
(ii) -3x (y2+z2)
(iii) z2 (x-y)
(iv) xz(x+y2)
(i) 15y2 (2 – 3x)
= 30y2 – 45xy2
Putting x = -1, y =
and z = ![]()
= 30 (
)2 – 45 (-1) (
)2
= 30 (
) + 45 (
)
=
+ ![]()
= ![]()
= ![]()
(ii) -3x (y2+z2)
Putting x = - 1, y =
and z = ![]()
= - 3 (-1) (
)2 – 3 (-1) (
)2
=
+ ![]()
=
+ ![]()
= ![]()
(iii) z2 (x-y)
Putting x = - 1, y =
and z = ![]()
z2 (x – y)
= (
)2 (-1 -
)
= (
) (
)
= ![]()
(iv) xz(x+y2)
Putting x = - 1, y =
and z = ![]()
= (-1)2 (
) + (-1) (
)2 (
)
=
-
(
)
= ![]()
= ![]()
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