Question

The coefficient of the quadratic term of $(x+2{)}^2=10x^2$ is ___.

• A. 8
• B. 10
• C. 1
• D. 9

Answer 1

The correct option is D 9

Consider the equation $(x+2{)}^2$ = 10$x^2.$
On simplification, we have
$x^2+4x+4=10x^2.$
$⟹9x^2-4x-4=0$
In the above equation, the coefficient of $x^2$ is 9.
Hence, the coefficient of the quadratic term of $(x+2{)}^2$ = 10$x^2$ is 9.