Question

multiply (4x²+5y²) by (2x-3y)

don't answer without steps

Answer 1

Answer:

2(8x³-15y³-12x²y+10xy²)

Step-by-step explanation:

(4x²+5y²) (2x-3y)

I'll be using the parrot beak technique.

4x²(2x-3y)= 8x³-12x²y

5y²(2x-3y)= 10xy²-15y³

2x(4x²+5y²)= 8x³+10xy²

-3y(4x²+5y²)= -12x²y-15y³

Take your data

8x³-12x²y+10xy²-15y³+8x³+10xy²-12x²y-15y³

Arrange them according to power and their variables

8x³+8x³-15y³-15y³-12x²y-12x²y+10xy²+10xy²

Combine like terms

RULE:

Like signs ADD

Unlike signs SUBTRACT

16x³-30y³-24x²y+20xy²

Simplify

2(8x³-15y³-12x²y+10xy²) ANSWER