Question

rewrite without parentheses and simplify.
$(2v-u)^2$

Explanation:

Step1: Apply square of difference formula

Recall $(a-b)^2=a^2-2ab+b^2$, let $a=2v$, $b=u$.
$$(2v-u)^2=(2v)^2-2(2v)(u)+u^2$$

Step2: Simplify each term

Calculate each squared and multiplied term.
$$(2v)^2=4v^2,\quad 2(2v)(u)=4vu$$

Step3: Combine simplified terms

Substitute back and write the final expression.
$$4v^2-4uv+u^2$$

Answer:

$4v^2 - 4uv + u^2$