Mathematics

Grade10

Easy

Question

Determine the independent term of x^{7} in the expansion of (3x^{2} + 4)^{12}.

- 220 × 4
^{6} - 230
- 548× 3!
- 220 × 3
^{6} × 4^{6}

^{6}^{6}× 4^{6}## The correct answer is: 220 × 3^{6} × 4^{6}

### By using Binomial theorem

Hence the coefficient is

### Related Questions to study

Mathematics

What do we get after factorizing x^{3}+ 8y^{3}+ z^{3} – 4xyz?

What do we get after factorizing x^{3}+ 8y^{3}+ z^{3} – 4xyz?

MathematicsGrade10

Mathematics

### Which term will be the middle term of (xyz – x)^{2n}?

### Which term will be the middle term of (xyz – x)^{2n}?

MathematicsGrade10

Mathematics

### What do we get after factorizing x^{2 }+ 6x - 27?

### What do we get after factorizing x^{2 }+ 6x - 27?

MathematicsGrade10

Mathematics

### Find the value of *k* if x - 3 is a factor of 5x^{3 }- 2x^{2 }+ x + k.

### Find the value of *k* if x - 3 is a factor of 5x^{3 }- 2x^{2 }+ x + k.

MathematicsGrade10

Mathematics

### What is the value of *n*, if the coefficients of the second term of (x – y)^{3} is equal to the third term of the expansion (x + y)^{n}?

### What is the value of *n*, if the coefficients of the second term of (x – y)^{3} is equal to the third term of the expansion (x + y)^{n}?

MathematicsGrade10

Mathematics

Find the 7^{th} term.

Find the 7^{th} term.

MathematicsGrade10

Mathematics

### The degree of the polynomial 8 is ___________.

### The degree of the polynomial 8 is ___________.

MathematicsGrade10

Mathematics

Expand.

Expand.

MathematicsGrade10

Mathematics

### Find the 4^{th} term of the binomial expansion of .

### Find the 4^{th} term of the binomial expansion of .

MathematicsGrade10

Mathematics

### The polynomial which has only one term is called ___________.

### The polynomial which has only one term is called ___________.

MathematicsGrade10

Mathematics

Find the 4^{th} term.

Find the 4^{th} term.

MathematicsGrade10

Mathematics

The polynomial which has two terms is called ___________.

The polynomial which has two terms is called ___________.

MathematicsGrade10

Mathematics

Expand.

Expand.

MathematicsGrade10

Mathematics

### Find the 12^{th} term.

### Find the 12^{th} term.

MathematicsGrade10

Mathematics

What is the expansion of (x + y)^{1000}?

What is the expansion of (x + y)^{1000}?

MathematicsGrade10