Question

Multiply: (x+3y)(x-2y)? Show steps please

Answer 1

Answer:

x² + xy - 6y²

Step-by-step explanation:

FOIL

(x+3y)(x-2y)

F= x²

O= -2xy

I= 3xy

L= -6y²

Add these together = x² + xy - 6y²

Answer 2

Step-by-step explanation:

Hey, there!

Let me simply clear you.

While multiplying algebraic expression, you must be very careful about sign and brackets.

Here,

$(x + 3y)(x - 2y)$

Let's multiply (x-2y) by (x+3y)

$= x(x - 2y) + 3y(x - 2y)$

$= ({x}^{2} - 2xy) + (3xy - 6 {y}^{2})$

Open brackets.

$= {x}^{2} - 2xy + 3xy - 6 {y}^{2}$

Simplify the like terms.

$= {x}^{2} + xy - 6 {y}^{2}$

Therefore, the answer is x^2 + xy- 6y^2.

Hope it helps.....