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Radicals - Multiplying Binomials (Values and Variables) (Level 3)

This math topic focuses on the skill of multiplying binomials involving both radicals and variables. Specifically, learners are required to multiply radical expressions, which may include coefficients and variable terms under different radical symbols, then simplify their results. The problems provided include complex expressions with varying degrees and types of radicals paired with algebraic variables, enhancing conceptual understanding and procedural skills in manipulations involving roots and powers. These types of problems are essential for understanding more advanced topics in algebra and precalculus.

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

(3x5x+x5)⋅(p2x5x−3p2x3)(3x\sqrt{5x} + x\sqrt{5}) \cdot ({p}^{2}x\sqrt{5x} - 3{p}^{2}x\sqrt{3})