Square of a Binomial

First, apply the formula $(a+b{)}^2=a^2+2ab+b^2$. Here, $a=x$ and $b=3$. First, square x to get $x^2$. Then, multiply x by 3 and double it to get $6x$. Finally, square 3 to get 9. When you combine all of these terms, you get $x^2+6x+9$.

First, apply the formula $(a-b{)}^2=a^2-2ab+b^2$. Here, $a=x$ and $b=4$. First, square x to get $x^2$. Then, multiply x by 4 and double it to get $8x$. Finally, square 4 to get 16. When you combine all of these terms, you get $x^2-8x+16$.

First, apply the formula $(a+b{)}^2=a^2+2ab+b^2$. Here, $a=2x$ and $b=5$. First, square $2x$ to get $4x^2$. Then, multiply $2x$ by 5 and double the result to get $20x$. Finally, square 5 to get 25. When you combine all of these terms, you get $4x^2+20x+25$.

First, apply the formula $(a-b{)}^2=a^2-2ab+b^2$. Here, $a=2x$ and $b=7$. First, square $2x$ to get $4x^2$. Then, multiply $2x$ by 7 and double the result to get $28x$. Finally, square 7 to get 49. When you combine all of these terms, you get $4x^2-28x+49$.

First, apply the formula $(a+b)(a-b)=a^2-b^2$. Here, $a=3x$ and $b=5$. First, square $3x$ to get $9x^2$. Then, square 5 to get 25. The correct simplified form is $9x^2-25$.

First, apply the formula $(a-b{)}^2=a^2-2ab+b^2$. Here, $a=3x$ and $b=2y$. First, square $3x$ to get $9x^2$. Then, multiply $3x$ by $2y$ and double the result to get $12xy$. Finally, square $2y$ to get $4y^2$. When you combine all of these terms, you get $9x^2-12xy+4y^2$.