Question

use the box method to distribute and simplify $(x + 6)(2x - 1)$. drag and drop the terms to the correct locations of the table.
$(x+6)(2x - 1)$
answer
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Explanation:

Step1: Set up box table

Create a 2x2 table (the top single boxes are for the terms of each binomial: top left: $x$, top right: $6$; left top: $2x$, left bottom: $-1$)

Step2: Multiply top-left terms

$x \times 2x = 2x^2$

Step3: Multiply top-right terms

$x \times (-1) = -x$

Step4: Multiply bottom-left terms

$6 \times 2x = 12x$

Step5: Multiply bottom-right terms

$6 \times (-1) = -6$

Step6: Combine like terms

$2x^2 + (-x + 12x) - 6 = 2x^2 + 11x - 6$

Box Table Fill-in (for the drag-and-drop):

	$x$	$6$
$-1$	$-x$	$-6$

Answer:

$2x^2 + 11x - 6$