Question

Find the following squares by using the identities.
(1) (6-7)(ii) (xy +3z)​

Answer 1

Answer:

1) 1 and 2) $x^{2} y^{2} + 9z^{2} + 6xyz$

Step-by-step explanation:

1) (6 - 7 )^2

Let a and b be 6 and 7 respectively,

As ,

$( a - b )^{2}$ = $a^{2} + b^{2} - 2ab$\

Hence,

$( 6 - 7 )^{2} = 6^{2} + 7^{2} - 2(6)(7)$

              = 36 + 49 - 84

              = 85 - 84

               = 1

2) (xy + 3z)^2

The answer here can be found in the same way

The answer

$(a + b)^{2} = a^{2} + b^{2} + 2ab$

xy^2 + 3z^2 + 2(xy)(3z)

$x^{2} y^{2} + 9z^{2} + 6xyz$