Question

What do we get after expanding (p + 3q - 2z)^{2}?

- p
^{2} + 9q^{2} + 4z^{2} + 6pq – 12qz + 4zp - p
^{2} + 9q^{2} + 4z^{2} + 12pq + 12qz + 4zp - p
^{2} + 9q^{2} + 4z^{2} – 12pq – 12qz – 4zp - p
^{2} + 9q^{2} + 4z^{2} + 6pq – 12qz – 4zp

^{2}+ 9q^{2}+ 4z^{2}+ 6pq – 12qz + 4zp^{2}+ 9q^{2}+ 4z^{2}+ 12pq + 12qz + 4zp^{2}+ 9q^{2}+ 4z^{2}– 12pq – 12qz – 4zp^{2}+ 9q^{2}+ 4z^{2}+ 6pq – 12qz – 4zp## The correct answer is: p^{2} + 9q^{2} + 4z^{2} + 6pq – 12qz – 4zp

We know that (a + b + c)^{2} = a^{2} + b^{2} + c^{2} + 2ab + 2bc + 2ca

(p + 3q - 2z)^{2}can also be written as (p + 3q + ( - 2z))^{2}.

Here, a = p, b = 3q and c = - 2z

Therefore, using that formula we get (p + 3q + ( - 2z))^{2}

= p^{2} + (3q)^{2} + ( - 2z)^{2} + 2(p)(3q) + 2(3q)( - 2z) + 2( - 2z)(p)

= p^{2} + 9q^{2} + 4z^{2} + 6pq – 12qz – 4zp.

^{2}= a

^{2}+ b

^{2}+ c

^{2}+ 2ab + 2bc + 2ca

^{2}can also be written as (p + 3q + ( - 2z))

^{2}.

^{2}

= p

^{2}+ (3q)

^{2}+ ( - 2z)

^{2}+ 2(p)(3q) + 2(3q)( - 2z) + 2( - 2z)(p)

^{2}+ 9q

^{2}+ 4z

^{2}+ 6pq – 12qz – 4zp.

### Related Questions to study

### What do we get after factoring 49x^{2 }- 28xy + .4y^{2}?

### What do we get after factoring 49x^{2 }- 28xy + .4y^{2}?

### _______ is a factor of 4x^{2 }- 9x + 5.

### _______ is a factor of 4x^{2 }- 9x + 5.

### Expand.

### Expand.

### Find the first four terms of the expansion .

### Find the first four terms of the expansion .

### Expand using the binomial theorem.

### Expand using the binomial theorem.

Use polynomial identities to factor each polynomial

Use polynomial identities to factor each polynomial

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

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

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?

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

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

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

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

### 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.

### 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}?

Find the 7^{th} term.

Find the 7^{th} term.

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

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

Expand.

Expand.