Q. Find the product. Simplify your answer.(3g−4)(2g+4)
Apply Distributive Property: First, we will apply the distributive property to multiply the first term of the first binomial by both terms of the second binomial.Calculation: (3g−4)(2g)+(3g−4)(4)Math error check:
Multiply Terms: Now, we multiply 3g by 2g and 3g by 4.Calculation: 3g×2g=6g2 and 3g×4=12gMath error check:
Apply Distributive Property: Next, we will apply the distributive property to multiply the second term of the first binomial by both terms of the second binomial.Calculation: (−4)(2g)+(−4)(4)Math error check:
Multiply Terms: Now, we multiply −4 by 2g and −4 by 4.Calculation: −4×2g=−8g and −4×4=−16Math error check:
Combine Terms: Finally, we combine all the terms we have calculated to get the simplified product.Calculation: 6g2+12g−8g−16Math error check:
Simplify Expression: We combine like terms to simplify the expression further.Calculation: 6g2+(12g−8g)−16=6g2+4g−16Math error check: