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Umnica [9.8K]
3 years ago
14

Write as a product of two polynomials: (x-y)^2-a(y-x)

Mathematics
1 answer:
sattari [20]3 years ago
3 0

Answer:

(x - y)(x - y + a)

Step-by-step explanation:

(x-y)^2-a(y-x) \\  \\  = (x-y)^2 + a(x - y) \\  \\ =  (x - y) \{(x - y) + a \} \\  \\ =  (x - y)(x - y + a)

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Determine the general form of the equation for the circle (x – 1)2 + (y + 2)2 = 3.
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6 0
3 years ago
Find u, v , u , v , and d(u, v) for the given inner product defined on Rn. u = (0, −4), v = (5, 3), u, v = 3u1v1 + u2v2
tigry1 [53]

Answer:

=-12

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Step-by-step explanation:

We are given that inner product defined on R_n

=3u_1v_1+u_2v_2

u=(0,-4),v=(5,3)

We have to find the value of <u,v> and d(u,v)

We have u_1=0,u_2=-4,v_1=5,v_2=3

Substitute the value then we get

=3(0\cdot5)+(-4)(3)=-12

Now, d(u,v)=\left \|v-u\right \|

Using this formula we get

d(u,v)=\left \| (5,7) \right \|=\sqrt{3(5)^2+(7)^2}=\sqrt{75+49}=\sqrt{124}

d(u,v)=2\sqrt{31}

7 0
3 years ago
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