Question

The simplification of the expression $(8x+3y{)}^2$ is .

• A. $32x^2+9y^2+24xy$
• B. $32x^2+9y^2+48xy$
• C. $64x^2+9y^2+48xy$
• D. $64x^2+9y^2+24xy$

Answer 1

The correct option is C $64x^2+9y^2+48xy$

Given: $(8x+3y{)}^2$
Using the algebraic identity,
$(a+b{)}^2=a^2+b^2+2ab$
$(8x+3y{)}^2=(8x{)}^2+(3y{)}^2+2\times 8x\times 3y$
$\Rightarrow (8x+3y{)}^2=64x^2+9y^2+48xy$