What is ((x+y)^2)/(36)+((y-2)^2)/(16) ?

The solution to ((x+y)^2)/(36)+((y-2)^2)/(16) is (4x^2+8xy+13y^2-36y+36)/(144)

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simplify ((x+y)^2)/(36)+((y-2)^2)/(16)

simplify

\frac{( x + y ) ^{2}}{36} + \frac{( y - 2 ) ^{2}}{16}

\frac{4 x ^{2} + 8 x y + 13 y ^{2} - 36 y + 36}{144}

Solution steps

\frac{( x + y ) ^{2}}{36} + \frac{( y - 2 ) ^{2}}{16}

Least Common Multiplier of

36, 16 : 144

Adjust Fractions based on the LCM

= \frac{( x + y ) ^{2} \cdot 4}{144} + \frac{( y - 2 ) ^{2} \cdot 9}{144}

Apply the fraction rule:

\frac{a}{c} + \frac{b}{c} = \frac{a + b}{c}

= \frac{( x + y ) ^{2} \cdot 4 + ( y - 2 ) ^{2} \cdot 9}{144}

Simplify

(x + y)^{2} \cdot 4 + (y - 2)^{2} \cdot 9 : 4 x^{2} + 8 x y + 13 y^{2} - 36 y + 36

= \frac{4 x ^{2} + 8 x y + 13 y ^{2} - 36 y + 36}{144}

3 (3 x - 6) = 18

lo g_{3} (4) + 2 lo g_{3} (x) - lo g_{3} (5)

∣ x - 4 ∣ + 2 ∣ x - 1 ∣ \geq 5

x + 4 = 0

x^{\frac{- 3}{2}} + 2 x^{\frac{- 1}{2}} + x^{\frac{1}{2}}

What is ((x+y)^2)/(36)+((y-2)^2)/(16) ?
The solution to ((x+y)^2)/(36)+((y-2)^2)/(16) is (4x^2+8xy+13y^2-36y+36)/(144)