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Practice — Binomial Expansion • Expansion of Three Terms

Finite binomial expansions and signs: check 1
Difficulty: ★★☆
2341 • M4U-P1-QP-BINOMIAL-EXPANSION-EXPANSION-01

Maths4U Original · Short practice

Find the coefficient of \(x^2\) in \((1+2x)^4\).

Enter one number or fraction. Round decimals to at least six decimal places when needed.

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Finite binomial expansions and signs: check 2
Difficulty: ★★☆
2342 • M4U-P1-QP-BINOMIAL-EXPANSION-EXPANSION-02

Maths4U Original · Short practice

Find the coefficient of \(x\) in \((3-x)^3\).

Enter one number or fraction. Round decimals to at least six decimal places when needed.

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Finite binomial expansions and signs: check 3
Difficulty: ★★☆
2343 • M4U-P1-QP-BINOMIAL-EXPANSION-EXPANSION-03

Maths4U Original · Short practice

Find the constant term in \((2+x)^5\).

Enter one number or fraction. Round decimals to at least six decimal places when needed.

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Finite binomial expansions and signs: check 4
Difficulty: ★★☆
2344 • M4U-P1-QP-BINOMIAL-EXPANSION-EXPANSION-04

Maths4U Original · Short practice

How many nonzero terms occur in the fully expanded \((1+x)^6\)?

Choose one answer.

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Finite binomial expansions and signs: review variant 1
Difficulty: ★★☆
2555 • M4U-P1-QP-VAR-BINOMIAL-EXPANSION-EXPANSION-01

Maths4U Original · Short practice

Find the coefficient of \(x^2\) in \((1+3x)^4\).

Enter one number or fraction. Round decimals to at least six decimal places when needed.

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Finite binomial expansions and signs: review variant 2
Difficulty: ★★☆
2556 • M4U-P1-QP-VAR-BINOMIAL-EXPANSION-EXPANSION-02

Maths4U Original · Short practice

Find the coefficient of x in \((2-x)^4\).

Enter one number or fraction. Round decimals to at least six decimal places when needed.

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Finite binomial expansions and signs: review variant 3
Difficulty: ★★☆
2557 • M4U-P1-QP-VAR-BINOMIAL-EXPANSION-EXPANSION-03

Maths4U Original · Short practice

Find the constant term in \((3+x)^4\).

Enter one number or fraction. Round decimals to at least six decimal places when needed.

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Finite binomial expansions and signs: review variant 4
Difficulty: ★★☆
2558 • M4U-P1-QP-VAR-BINOMIAL-EXPANSION-EXPANSION-04

Maths4U Original · Short practice

How many nonzero terms occur in the expansion of \((1+x)^8\)?

Enter one number or fraction. Round decimals to at least six decimal places when needed.

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