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6x³ y+12xy² −10x³ −20x ² 2x(3x² y+6y²−5x² −10x) ³ 21x² y⁴ −27x² y²3x² (7xy³−9xy)

User Rmacqueen
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1 Answer

6 votes

Final answer:

The student's question seems to be about simplifying, factoring, or expanding a polynomial expression, but due to typos, we cannot provide a specific answer. Instead, we've outlined general strategies for working with polynomials, such as combining like terms, factoring, and expanding using the distributive property.

Step-by-step explanation:

The student appears to be asking for assistance with simplifying a polynomial expression or possibly factoring or expanding a given polynomial. However, the question contains various typos and disjointed parts, which makes it difficult to provide a clear and definitive answer. Instead, let's focus on a more general explanation of polynomials and a few basic methods to manipulate them that the student might find helpful.

Understanding Polynomials

Polynomials are algebraic expressions that include variables raised to non-negative integer powers and their coefficients. Simplifying polynomials may involve combining like terms, which means adding or subtracting terms that have the same variable raised to the same power.

Factoring Polynomials

Factoring polynomials is a way of breaking down the expression into the product of simpler expressions. This can be helpful in solving polynomial equations or simplifying complex expressions. Techniques include factoring by grouping, factoring out the greatest common factor, and special factoring formulas like the difference of squares and the sum/product of cubes.

Expanding Polynomials

Expanding polynomials involves using the distributive property to eliminate parentheses. When we raise an expression in parentheses to a power, we must apply the exponent to every term inside the parentheses. This is a common step in manipulating polynomial expressions.

For more specific help, the student would need to provide a clearer version of the polynomial question. A proper polynomial expression or equation would enable us to demonstrate the steps of simplification, factoring, or expansion with actual numbers and variables.

User Mbaxi
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