Which expression is equivalent to (2g3+4)2?

Answer:
B
Step-by-step explanation:
(2g³ + 4)² = (2g³ + 4)(2g³ + 4)
Each term in the second factor is multiplied by each term in the first factor, that is
2g³(2g³ + 4) + 4(2g³ + 4) ← distribute both parenthesis
= 4[tex]g^{6}[/tex] + 8g³ + 8g³ + 16 ← collect like terms
=4[tex]g^{6}[/tex] + 16g³ + 16 → B
The expression is equivalent to (2g³ + 4)² will be option B 4g⁶ + 16g³ + 16
The expression is defined as the relationship between the numbers and variables and are arranged in the form of an equation.
(2g³ + 4)² = (2g³ + 4)(2g³ + 4)
Each term in the second factor is multiplied by each term in the first factor, that is
2g³(2g³ + 4) + 4(2g³ + 4) ← distribute both parenthesis
= 4g⁶ + 8g³ + 8g³ + 16 ← collect like terms
=4g⁶ + 16g³ + 16 → B
Hence expression is equivalent to (2g³ + 4)² will be option B 4g⁶ + 16g³ + 16
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