angeline310
17.11.2020 •
Mathematics
Are the expressions 8a2 - 4b + 7a2 and 5(3a2 - 2b) + 6b equivalent? Explain your reasoning.
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Ответ:
Yes, The expressions 8a² - 4b + 7a² and 5(3a² - 2b) + 6b are equivalent
Step-by-step explanation:
To answer the question you must simplify each expression, then compare them to find if they are equivalent or not
∵ The 1st expression = 8a² - 4b + 7a²
→ Add the like terms
∴ The 1st expression = (8a² + 7a²) - 4b
∴ The 1st expression = 15a² - 4b
∵ The 2nd expression = 5(3a² - 2b) + 6b
→ Multiply the bracket by 5
∴ The 2nd expression = 5(3a²) - 5(2b) + 6b
∴ The 2nd expression = 15a² - 10b + 6b
→ Add the like terms
∵ The 2nd expression = 15a² + (-10b + 6b)
∴ The 2nd expression = 15a² + -4b
→ Remember (+)(-) = (-)
∴ The 2nd expression = 15a² - 4b
∵ The 1st expression = The 2nd expression
∴ The two expressions are equivalent
∴ The expressions 8a² - 4b + 7a² and 5(3a² - 2b) + 6b are equivalent
Ответ:
Step-by-step explanation:
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