Question

chin made an error in his chart showing the multiplication of the binomial by the trinomial.
$(3x + y)(x^2 + 2y + 4)$

	$x^2$	$2y$	$4$
$y$	$x^2y$	$2y^2$	$4y$

which change can be made to correct the chart?

• the expression $3x^3$ should be $3x^2$.
• the expression $6x$ should be $6xy$.
• the expression $x^2y$ should be $x^2y^2$.
• the expression $4y$ should be $4y^2$.

Explanation:

Step1: Multiply $3x$ by $2y$

$3x \times 2y = 6xy$

Step2: Compare with chart entry

The chart has $6x$ instead of $6xy$.

Step3: Verify other options

• $3x \times x^2 = 3x^3$ (correct in chart)
• $y \times x^2 = x^2y$ (correct in chart)
• $y \times 4 = 4y$ (correct in chart)

Answer:

The expression 6x should be 6xy.