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A to the 2nd power b + 5a to the 3rd power + 10 - 6 to the 3rd power polynomials in standard form

User Denese
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The standard form of a polynomial is written in descending order of exponents of the variable(s), so we need to simplify each term and combine like terms.

Starting with $a^2b$, there is no simplification to be done, so it remains the same.

For $(5a)^3$, we need to cube the coefficient and the variable:

$(5a)^3 = 5^3 \cdot a^3 = 125a^3$

Finally, $6^3 = 216$, so we can substitute that into the last term.

Putting it all together, the polynomial in standard form is:

$a^2b + 125a^3 + 10 - 216$

Simplifying the constant terms, we get:

$a^2b + 125a^3 - 206$

Therefore, the polynomial in standard form is $a^2b + 125a^3 - 206$.

It’s -206.
User Simone Lazzari
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