Question

find the product of (4x+3y-2) and (-3x+5y)​

Answer 1

Answer:

Answer is attached here

Answer 2

Answer:

The product of $(4x+3y-2)(-3x+5y)$ is $-21x^{2} +15y^{2} +20xy+6x-10y$.

Step-by-step explanation:

Given : The expression is $(4x+3y-2)(-3x+5y)$

To find : The value of above expression.

Solution :

• The given expression is $(4x+3y-2)(-3x+5y)$
• We have to find the value of the above expression.
• The expression has multiplication of two polynomials.
• Multiplication is one of the important arithmetic operation of mathematics among division, multiplication, addition and subtraction.
• The rule of multiplication is "-ve*-ve=+ve" and "+ve*-ve=-ve".
• The given expression is,

$(4x+3y-2)(-3x+5y)$ $= -12x^{2} +20xy-9x^{2} +15y^{2}+6x-10y$

                                $= -21x^{2} +15y^{2}+20xy+6x-10y$

• ∴ The product of $(4x+3y-2)(-3x+5y)$ is $-21x^{2} +15y^{2} +20xy+6x-10y$.