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Radicals - Multiplying Binomials (Values and Variables) (Level 2)

This math topic focuses on practicing the multiplication of binomial expressions that contain radicals, involving variables and constants. It covers expanding and simplifying the products of binomial expressions which comprise square roots and variable terms at a more advanced level, possibly including the distribution of squared and cubed terms. Each problem sets up expressions in a format inviting the student to carry out the multiplication and then choose the correctly simplified form from multiple choices, ensuring a comprehensive understanding and application of radical manipulation rules in algebra.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

Multiplying Binomials (Values and Variables)

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Multiply the radical expressions and simplify the answer

(m5m+m3)⋅(13−m2m)(m\sqrt{5m} + m\sqrt{3}) \cdot (\sqrt{13} - m\sqrt{2m})