Question

Please help bein timed!

Which is equivalent to (4 x y minus 3 z) squared, and what type of special product is it?

16 x squared y squared + 9 z squared, the difference of squares
16 x squared y squared + 9 z squared, a perfect square trinomial
16 x squared y squared minus 24 x y z + 9 z squared, the difference of squares
16 x squared y squared minus 24 x y z + 9 z squared, a perfect square trinomial

Answer 1

$\LARGE{ \underline{ \blue{ \sf{Required \: answer:}}}}$

We have to expand a polynomial by using an identity. And we also need to identify its type.

GiveN P(x):

• 4xy - 3z

To FinD:

• We have to square the polynomial and identify which option suits it the best.

Step-wise-Step Explanation:

We can easily find it out by using the identity:

• (a - b)² = a² - 2ab + b²

Considering 4xy be 'a' and 3x be 'b'. Using the identity to solve the question:

⇒ (4xy - 3z)²

⇒ (4xy)² - 2(4xy)(3z) + (3z)²

⇒ 16x²y² - 24xyz + 9z²

This is the square of the Polynomial 4xy - 3z. It contains three terms, hence it is a trinomial and a perfect square. So, The correct option is D :)

Answer 2

Answer:

We have to expand a polynomial by using an identity. And we also need to identify its type.

We have to expand a polynomial by using an identity. And we also need to identify its type.GiveN P(x):

We have to expand a polynomial by using an identity. And we also need to identify its type.GiveN P(x):4xy - 3z

We have to expand a polynomial by using an identity. And we also need to identify its type.GiveN P(x):4xy - 3zTo FinD:

We have to expand a polynomial by using an identity. And we also need to identify its type.GiveN P(x):4xy - 3zTo FinD:We have to square the polynomial and identify which option suits it the best.

We have to expand a polynomial by using an identity. And we also need to identify its type.GiveN P(x):4xy - 3zTo FinD:We have to square the polynomial and identify which option suits it the best.Step-wise-Step Explanation:

We have to expand a polynomial by using an identity. And we also need to identify its type.GiveN P(x):4xy - 3zTo FinD:We have to square the polynomial and identify which option suits it the best.Step-wise-Step Explanation:We can easily find it out by using the identity:

We have to expand a polynomial by using an identity. And we also need to identify its type.GiveN P(x):4xy - 3zTo FinD:We have to square the polynomial and identify which option suits it the best.Step-wise-Step Explanation:We can easily find it out by using the identity:(a - b)² = a² - 2ab + b²

We have to expand a polynomial by using an identity. And we also need to identify its type.GiveN P(x):4xy - 3zTo FinD:We have to square the polynomial and identify which option suits it the best.Step-wise-Step Explanation:We can easily find it out by using the identity:(a - b)² = a² - 2ab + b²Considering 4xy be 'a' and 3x be 'b'. Using the identity to solve the question:

We have to expand a polynomial by using an identity. And we also need to identify its type.GiveN P(x):4xy - 3zTo FinD:We have to square the polynomial and identify which option suits it the best.Step-wise-Step Explanation:We can easily find it out by using the identity:(a - b)² = a² - 2ab + b²Considering 4xy be 'a' and 3x be 'b'. Using the identity to solve the question:⇒ (4xy - 3z)²

We have to expand a polynomial by using an identity. And we also need to identify its type.GiveN P(x):4xy - 3zTo FinD:We have to square the polynomial and identify which option suits it the best.Step-wise-Step Explanation:We can easily find it out by using the identity:(a - b)² = a² - 2ab + b²Considering 4xy be 'a' and 3x be 'b'. Using the identity to solve the question:⇒ (4xy - 3z)²⇒ (4xy)² - 2(4xy)(3z) + (3z)²

We have to expand a polynomial by using an identity. And we also need to identify its type.GiveN P(x):4xy - 3zTo FinD:We have to square the polynomial and identify which option suits it the best.Step-wise-Step Explanation:We can easily find it out by using the identity:(a - b)² = a² - 2ab + b²Considering 4xy be 'a' and 3x be 'b'. Using the identity to solve the question:⇒ (4xy - 3z)²⇒ (4xy)² - 2(4xy)(3z) + (3z)²⇒ 16x²y² - 24xyz + 9z²

We have to expand a polynomial by using an identity. And we also need to identify its type.GiveN P(x):4xy - 3zTo FinD:We have to square the polynomial and identify which option suits it the best.Step-wise-Step Explanation:We can easily find it out by using the identity:(a - b)² = a² - 2ab + b²Considering 4xy be 'a' and 3x be 'b'. Using the identity to solve the question:⇒ (4xy - 3z)²⇒ (4xy)² - 2(4xy)(3z) + (3z)²⇒ 16x²y² - 24xyz + 9z²This is the square of the Polynomial 4xy - 3z. It contains three terms, hence it is a trinomial and a perfect square. So, The correct option is D :)