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Expand $(az^2+bz+c)(pz+q)$.

", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "

Expand the following brackets.

\n

Your answers should not include any brackets.

\n

Note: to enter $xy$ here you will need to use the syntax x*y

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$\\simplify[std]{({a}x+{b})({p}x+{q})}=\\;$[[0]]

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$\\simplify[std]{({c}+y)(x+{d}y)}=\\;$[[0]]

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$\\simplify[std]{({a}z^2+{b}z+{c})({p}z+{q})}=\\;$[[0]]

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Do not include brackets in your answer. Input your answer as a cubic in $z$, in the form $az^3+bz^2+cz+d$ for appropriate integers $a,\\;b,\\;c,\\;d$.

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