Question

Simplify $(6x^2-5y{)}^2$

• A. $36x^4+60x^{2}y+25y^2$
• B. $36x^2+60x^{2}y+25y^2$
• C. $36x^4+60x^2+25y^2$
• D. $36x^4-60x^{2}y+25y^2$

Answer 1

The correct option is D $36x^4-60x^{2}y+25y^2$

$(6x^2-5y{)}^2$
Using $(a-b{)}^2=a^2-2ab+b^2$ we get,
$(6x^2{)}^2-2(6x^2\left)\right(5y)+(5y{)}^2$
$=36x^4-60x^{2}y+25y^2{y}^2$