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Exercise

−14x2+2.−14.−y2−y2-\frac{1}{4}x^2+2.-\frac{1}{4}.-y^2-y^2

Step-by-step Solution

1

Simplify the addition −14x2+2−14−y2−y2-\frac{1}{4}x^2+2-\frac{1}{4}-y^2-y^2

−14x2+−1+2⋅44−y2−y2-\frac{1}{4}x^2+\frac{-1+2\cdot 4}{4}-y^2-y^2
2

Multiply 22 times 44

−14x2+−1+84−y2−y2-\frac{1}{4}x^2+\frac{-1+8}{4}-y^2-y^2
3

Subtract the values 88 and −1-1

−14x2+74−y2−y2-\frac{1}{4}x^2+\frac{7}{4}-y^2-y^2
4

Combining like terms −y2-y^2 and −y2-y^2

−14x2+74−2y2-\frac{1}{4}x^2+\frac{7}{4}-2y^2

Final answer to the exercise

−14x2+74−2y2-\frac{1}{4}x^2+\frac{7}{4}-2y^2

Try other ways to solve this exercise

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Main Topic: Equivalent Expressions

Two algebraic expressions are equivalent if they stay equal to each other, for any values their variables can take.

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−14 x2+2.−14 .−y2−y2
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