Question

Which is equivalent to (4xy – 3z)2, and what type of special product is it?

Answer 1

$(4xy-3z)^{2} =(4xy)^{2} -2(4xy)(3z)+ (3z)^{2} =16 x^{2} y^{2} -24xyz+9 z^{2}$
The type of special product is 'a perfect square trinomial'.

Answer 2

Answer:

$16x^2y^2-24xyz+9z^2$

It is a perfect square trinomial.

Step-by-step explanation:

The given expression is $(4xy-3z)^2$

We can use the formula $(a-b)^=a^2-2ab+b^2$

Here, we have

a = 4xy, b = 3z

Using the formula, we have

$(4xy-3z)^2\\=(4xy)^2-2(4xy)(3z)+(3z)^2\\\\16x^2y^2-24xyz+9z^2$

Therefore, the equivalent expression is $16x^2y^2-24xyz+9z^2$

It is a perfect square trinomial.