Use a multiplication grid to evaluate \(23 \times 17\) and complete the complementary number statements on the right-hand side.
| \(10\) | \(7\) | |
|---|---|---|
| \(20\) | ||
| \(3\) |
\[\begin{align*}
23 \times 17 &= \ldots\\\\
\frac{\ldots}{17}&=23\\\\
\frac{\dots}{23}&=17
\end{align*}\]
Use a multiplication grid to expand \((x+4)(2x-3)\) and complete the complementary statements on the right-hand side.
| \(x\) | \(+4\) | |
|---|---|---|
| \(2x\) | ||
| \(-3\) |
\[\begin{align*}
(x+4)(2x-3)&=\ldots\\\\
\frac{\ldots}{x+4}&=2x-3\\\\
\frac{\dots}{2x-3}&=x+4
\end{align*}\]
Use the same thinking to complete the multiplication grid and statements below.
| \(x\) | \(-2\) | |
|---|---|---|
| \(\ldots\) | \(4x^2\) | |
| \(\ldots\) | \(-12\) |
\[\begin{align*}
(x-2)(\ldots) &= 4x^2 - 2x - 12\\\\
\frac{4x^2-2x-12}{x-2}&= \ldots\\\\
\frac{4x^2-2x-12}{\ldots}&=x-2
\end{align*}\]
