Answer:
5. (2d-4)²
= 4d²-16d+16
6. (3x-4y)²
= 9x²-24xy+16y²
7. (2d+6)³
= 8d³+72d²+216d+216
8. (3f-4)³
= 27f³-48f²+96f-64
9. (x²+2x)(x⁴-2x³+4x²)
= x⁶+8x³
10. (2y²-7y)(4y⁴+14y³+49y²)
= 8y⁶-343y³
Step-by-step explanation:
Use these theorem
Square of Binomial
(a-b)² = a²-2ab+b²
Cube of Binomial
(a+b)³ = a³+3a²b+3ab²+b³
(a-b)³ = a³-3a²b+3ab²-b³
Distributive Property and Combine like terms(9 and 10)
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Answers & Comments
Answer:
5. (2d-4)²
= 4d²-16d+16
6. (3x-4y)²
= 9x²-24xy+16y²
7. (2d+6)³
= 8d³+72d²+216d+216
8. (3f-4)³
= 27f³-48f²+96f-64
9. (x²+2x)(x⁴-2x³+4x²)
= x⁶+8x³
10. (2y²-7y)(4y⁴+14y³+49y²)
= 8y⁶-343y³
Step-by-step explanation:
Use these theorem
Square of Binomial
(a-b)² = a²-2ab+b²
Cube of Binomial
(a+b)³ = a³+3a²b+3ab²+b³
(a-b)³ = a³-3a²b+3ab²-b³
Distributive Property and Combine like terms(9 and 10)