Answer:
x⁶ -9⁴ +27x² -27
Step-by-step explanation:
Use the Binomial Theorem.
(x²)³ + 3(x²)² × -3+3x² (-3)² + (-3)³
Simplify each term.
Multiply the exponents in (x²)³.
Apply the power rule and multiply exponents,
(am)n=amn.
x²⋅³ + 3(x²)² ×−3 + 3x² (−3)²+ (−3)³
Multiply 2 by 3
x⁶+3(x²)²×−3+3x² (−3)² + (3)³
Multiply the exponents in (x²)².
x⁶+3x²⋅²×-3+3x²(-3)2+(-3)3
Multiply 2 by 2.
x6+3x4⋅-3+3x2(-3)²+(-3)³
Multiply −3 by 3.
x⁶-9x⁴+3x²(-3)²+(-3)³
Raise -3 to the power of 2.
x⁶-9x⁴+3x²×9+(-3)³
Multiply 9 by 3.
x⁶-9x⁴+27x²+(-3)³
Raise −3 to the power of 3.
Answer: x⁶−9x⁴+27x²−27
Copyright © 2024 EHUB.TIPS team's - All rights reserved.
Answers & Comments
Answer:
x⁶ -9⁴ +27x² -27
Step-by-step explanation:
Use the Binomial Theorem.
(x²)³ + 3(x²)² × -3+3x² (-3)² + (-3)³
Simplify each term.
Multiply the exponents in (x²)³.
Apply the power rule and multiply exponents,
(am)n=amn.
x²⋅³ + 3(x²)² ×−3 + 3x² (−3)²+ (−3)³
Multiply 2 by 3
x⁶+3(x²)²×−3+3x² (−3)² + (3)³
Multiply the exponents in (x²)².
Apply the power rule and multiply exponents,
(am)n=amn.
x⁶+3x²⋅²×-3+3x²(-3)2+(-3)3
Multiply 2 by 2.
x6+3x4⋅-3+3x2(-3)²+(-3)³
Multiply −3 by 3.
x⁶-9x⁴+3x²(-3)²+(-3)³
Raise -3 to the power of 2.
x⁶-9x⁴+3x²×9+(-3)³
Multiply 9 by 3.
x⁶-9x⁴+27x²+(-3)³
Raise −3 to the power of 3.
Answer: x⁶−9x⁴+27x²−27