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using tiles to multiply a monomial by a binomial what is the product of…

Question

using tiles to multiply a monomial by a binomial

what is the product of \\(x(x + 1)\\)?

\\(2x + x\\)
\\(x^2 + 2x\\)
\\(2x^2 + x\\)
\\(x^2 + x\\)

Explanation:

Identify the given expression

$$ x(x + 1) $$

Apply the distributive property

$$ x \cdot x + x \cdot 1 $$

Simplify the terms

$$ x^2 + x $$

Answer:

  • (A) \(2x + x\)
  • (B) \(x^2 + 2x\)
  • (C) \(2x^2 + x\)
  • (D) \(x^2 + x\) (Correct answer)