GB-05-04-001 · Expanding two brackets

Expand and simplify $(x+9)(x + 6)$ .

Expanding double brackets Booklet p. 2

Method

1) Use a 2×2 grid to multiply terms

2) Write out all 4 terms and collect like terms

Worked Example (GB-05-04-001)

2×2 Multiplication Grid (Booklet p. 2) — Circle & collect the diagonal like terms!

×	$x$	$+9$
$x$	$x^2$	$+9x$
$+6$	$+6x$	$+54$

Write out all 4 terms:

x^2 \;\color{#dc2626}{\boxed{+9x + 6x}}\; + 54

x^{2} + 15x + 54