Identify all sums, products, and factors in the expression (x+5)(y+9) +(2+x)(y+23)
To find the sums, products, and factors in the expression (x+5)(y+9) + (2+x)(y+23), we need to simplify it first.
First, let's expand each term using the distributive property:
(x+5)(y+9) = xy + 9x + 5y + 45
(2+x)(y+23) = 2y + 46 + xy + 23x
Now, we can combine like terms:
xy + 9x + 5y + 45 + 2y + 46 + xy + 23x
Group the similar terms together:
xy + xy + 9x + 23x + 5y + 2y + 45 + 46
Combine the like terms:
2xy + 32x + 7y + 91
Now that we have simplified the expression, we can identify the sums, products, and factors.
Sums:
The sums in the expression are the terms that are added together. In this case, the sums are:
32x + 7y + 91
Products:
The products in the expression are the terms that result from multiplying two or more variables or numbers together. In this case, the products are:
2xy
Factors:
The factors in the expression are the variables or numbers that are multiplied together to obtain a product. In this case, the factors are:
2, x, and y
So, the sums in the expression are 32x + 7y + 91, the products are 2xy, and the factors are 2, x, and y.
idk i need helppppp
sums are terms separated by + or - signs
products consist of two or more factors multiplied.
So, what do you say?