Question

Simplify : ${(\frac{3}{2}x-0.45y)}^2$

• A. $2.25x^2-1.35xy+0.2015y^2$
• B. $2.15x^2-1.35xy+0.2025y^2$
• C. $2.25x^2-1.35xy+0.2025y^2$
• D. $2.25x^2-1.25xy+0.2025y^2$

Answer 1

Answer: (C)

$2.25x^2-1.35xy+0.2025y^2$

${(\frac{3}{2}x-0.45y)}^2$
$={(1.5x-0.45y)}^2$
$=(1.5x{)}^2+(0.45y{)}^2-2\left(1.5x\right)(0.45y{)}^2$
$=2.25x^2+0.2025y^2-1.35xy$