Question

Which expression is equivalent to (2g^3+4)^2

Answer 1

Answer with explanation:

Two expression are said to be equivalent, if we replace the variable by some constant say 'w' in both the expressions the two expression , that is original expression and Equivalent expression yields the same numerical value.

The given expression is:

 $(2 g^3 +4)^2=(2 g^3)^2+4^2+2 \times (2 g^3) \times 4\\\\=4 g^6+16 +16 g^3$

is an equivalent expression of the expression given.

Used the identity

⇒(a +b)²=a²+b²+2 a b

Answer 2

Answer:

+64g^6 + 64g^3 + 16. I think

Explanation:

${( {2g}^{3} +4)}^{2} = {(8 {g}^{3} + 4) }^{2} =$

$(8 {g}^{3} + 4) \times(8 {g}^{3} + 4) = 64 {g}^{6} + 32 {g}^{3} + 32 {g}^{3} + 16 = 64 {g}^{6} + 64 {g}^{3} + 16$