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Determine whether a squared b + a squared b = 2ab is sometimes, always, or never true.

User Pedrotech
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1 Answer

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Final answer:

The given equation is incorrect regardless of whether 'a squared b' means 'ab^2' or 'a^2b', as the left side simplifies to either '2ab^2' or '2a^2b', both of which are not equal to '2ab'. The equation is therefore never true.

Step-by-step explanation:

The equation a squared b + a squared b = 2ab appears to be constructed incorrectly, likely due to typographical errors. If we interpret a squared b as a times b squared, which is written as ab2, then the equation becomes ab2 + ab2 = 2ab. This would be never true because ab2 plus ab2 results in 2ab2, not 2ab. However, if the intended equation is a2b + a2b = 2ab, simplifying the left side by combining like terms would give 2a2b, not 2ab, thus the equation is still never true. In both interpretations, the original equation is incorrect and does not hold mathematically.

User Bigmadwolf
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