Question

add x²+3xy-yx and z²+3zx-xy



no irreverent answer Please ​

Answer 1

Answer:

= x² + 3xy + z² + 3zx - 2xy

Step-by-step explanation:

= x² + 3xy - yx + z² + 3zx - xy

= x² + 3xy + z² + 3zx - 2xy

Answer 2

Given Question :

Add :

$\sf\longrightarrow \sf \: ( {x}^{2} + 3xy - yx) + ( {z}^{2} + 3zx - xy)$

Solution :

$\sf\longrightarrow \sf \: ( {x}^{2} + 3xy - yx) + ( {z}^{2} + 3zx - xy)$

• Firstly, we will open the brackets,

$\sf\longrightarrow \sf \: {x}^{2} + 3xy - yx+ {z}^{2} + 3zx - xy$

• Bring the like terms together,

$\sf\longrightarrow \sf \: {x}^{2} + 3xy - yx - xy+ {z}^{2} + 3zx$

• Note that : (yx) and (xy) means the same as multiplication is commutative.

$\sf\longrightarrow \sf \: {x}^{2} + 3xy - xy - xy+ {z}^{2} + 3zx$

$\sf\longrightarrow \sf \: {x}^{2} + 3xy - 2xy + {z}^{2} + 3zx$

$\sf\longrightarrow \sf \: {x}^{2} + xy + {z}^{2} + 3zx$

• This can be rearrranged as :

$\pink{ \sf\longrightarrow \underline{ \boxed{\bf \: {x}^{2} + {z}^{2} + 3zx + xy}} \: \bigstar}$