Determine if a Polynomial (s-3t)(s-2t)

Math
(s-3t)(s-2t)
A polynomial is a combination of terms separated using + or – signs. Polynomials cannot contain any of the following:
1. Variables raised to a negative or fractional exponent. (2x-2,x12,…).
2. Variables in the denominator. (1x,1×2,…).
3. Variables under a radical. (x,x3,…).
4. Special features. (trig functions, absolute values, logarithms, …).
Simplify the expression.
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Expand (s-3t)(s-2t) using the FOIL Method.
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Apply the distributive property.
s(s-2t)-3t(s-2t)
Apply the distributive property.
s⋅s+s(-2t)-3t(s-2t)
Apply the distributive property.
s⋅s+s(-2t)-3ts-3t(-2t)
s⋅s+s(-2t)-3ts-3t(-2t)
Simplify and combine like terms.
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Simplify each term.
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Multiply s by s.
s2+s(-2t)-3ts-3t(-2t)
Rewrite using the commutative property of multiplication.
s2-2st-3ts-3t(-2t)
Multiply t by t.
s2-2st-3ts-3⋅-2t2
Multiply -3 by -2.
s2-2st-3ts+6t2
s2-2st-3ts+6t2
Subtract 3ts from -2st.
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Move t.
s2-2st-3st+6t2
Subtract 3st from -2st.
s2-5st+6t2
s2-5st+6t2
s2-5st+6t2
s2-5st+6t2
Determine if the expression breaks any of the rules.
Does not break any of the rules
Determine if the expression is a polynomial.
Polynomial
Determine if a Polynomial (s-3t)(s-2t)

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