Front

Factor: x² - 49

Back

(x + 7)(x - 7) - This is a difference of squares.

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Add the polynomials: (2x + 5y) + (3x - 2y)

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5x + 3y - Combine like terms.

Front

Multiply: 7x²y³ (2x⁴y⁵ + 6xy³)

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14x⁶y⁸ + 42x³y⁶ - Distribute 7x²y³ to each term.

Front

Expand: (x + 2)(x + 3)

Back

x² + 5x + 6 - Use the distributive property.

Front

Factor: 5x² - 28x + 32

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(5x - 8)(x - 4) - Find two numbers that multiply to 5*32 and add to -28.

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Definition: Polynomial

Back

An expression consisting of variables, coefficients, and exponents, combined using addition, subtraction, and multiplication.

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Definition: Like Terms

Back

Terms that have the same variable raised to the same power.

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Definition: Coefficient

Back

A numerical factor in a term of an algebraic expression.

Front

Definition: Quadratic Equation

Back

An equation of the form ax² + bx + c = 0, where a, b, and c are constants.

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Definition: Factoring

Back

The process of breaking down an expression into simpler components that, when multiplied together, give the original expression.