Question

simplify each product
$(5s - t)^2$
options:
$25s^2 - 10st + t^2$
$10s - 2t^2$
$25s^2 + 10s - t^2$
$10s^2 - 2t^2$

Explanation:

Step1: Recall square of difference formula

The formula is $(a-b)^2 = a^2 - 2ab + b^2$

Step2: Substitute $a=5s$, $b=t$

$$(5s-t)^2=(5s)^2 - 2(5s)(t) + t^2$$

Step3: Calculate each term

$(5s)^2=25s^2$, $2(5s)(t)=10st$, so:
$$(5s-t)^2=25s^2 - 10st + t^2$$

Answer:

$25s^2-10st+t^2$