Expanding Double Brackets

Feedback: Not quite! First, multiply $x$ by $x$ to get $x^2$, then multiply $x$ by $2$ to get $2x$. Next, multiply $3$ by $x$ to get $3x$, and $3$ by $2$ to get $6$. Finally, add all the terms together: $x^2 + 2x + 3x + 6$. Combining $2x$ and $3x$ gives $5x$, so the final answer is $x^2 + 5x + 6$.

Feedback: Not quite! First, multiply $x$ by $x$ to get $x^2$, then multiply $x$ by $1$ to get $x$. Next, multiply $4$ by $x$ to get $4x$, and $4$ by $1$ to get $4$. Finally, combine all terms: $x^2 + x + 4x + 4$. Adding $x$ and $4x$ gives $5x$, so the final answer is $x^2 + 5x + 4$.

Feedback: Not quite! First, multiply $2x$ by $x$ to get $2x^2$, then multiply $2x$ by $4$ to get $8x$. Next, multiply $1$ by $x$ to get $x$, and $1$ by $4$ to get $4$. Combine all terms: $2x^2 + 8x + x + 4$. Adding $8x$ and $x$ gives $9x$, so the final answer is $2x^2 + 9x + 4$.

Feedback: Not quite! First, multiply $x$ by $2x$ to get $2x^2$, then multiply $x$ by $-3$ to get $-3x$. Next, multiply $-2$ by $2x$ to get $-4x$, and $-2$ by $-3$ to get $6$. Finally, combine all terms: $2x^2 - 3x - 4x + 6$. Adding $-3x$ and $-4x$ gives $-7x$, so the final answer is $2x^2 - 7x + 6$.

Feedback: Not quite! First, multiply $3x$ by $x$ to get $3x^2$, then multiply $3x$ by $4$ to get $12x$. Next, multiply $-2$ by $x$ to get $-2x$, and $-2$ by $4$ to get $-8$. Finally, combine all terms: $3x^2 + 12x - 2x - 8$. Adding $12x$ and $-2x$ gives $10x$, so the final answer is $3x^2 + 10x - 8$.

Feedback: Not quite! First, multiply $-5x$ by $4$, which gives $-20x$. Next, multiply $-5x$ by $-2x$, resulting in $+10x^2$. Then, multiply $3$ by $4$, which gives $12$. Finally, multiply $3$ by $-2x$, resulting in $-6x$. Combining all the terms, we get $-20x + 10x^2 + 12 - 6x$. Simplifying the like terms $-20x$ and $-6x$, we get $-26x$. So, the final simplified expression is $10x^2 - 26x + 12$.