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How do you multiply a monomial and a binomial?
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A monomial is an expression with one term, for example, $3x$ or $y^2$.

A binomial is an expression with two terms, for example, $ax+b$ or $cx+d$.

Worked Example - Simplifying brackets

Simplify: $2a(a-1) - 3(a^{2}-1)$.

\begin{align*} 2a(a-1) -3(a^{2}-1) &= 2a(a) + 2a(-1) + (-3)(a^{2})+(-3)(-1) \\ &= 2a^{2} - 2a - 3a^{2} + 3 \\ &= -a^{2} -2a + 3 \end{align*}

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