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3 years ago

What is that product of 2x + y and 5x -y + 3

Mathematics

2 answers:

poizon [28]3 years ago

7 0

Answer:

10x² + 6x + 3xy + 3y - y²

Step-by-step explanation:

Each term in the second factor is multiplied by each term in the first factor, as shown

(2x + y)(5x - y + 3)

= 2x(5x - y + 3) + y(5x - y + 3) ← distributing

= 10x² - 2xy + 6x + 5xy - y² + 3y ( collect like terms )

= 10x² + 6x + 3xy + 3y - y²

Vlad [161]3 years ago

5 0

The correct answer is:

10 x^2+ 3 xy+ 6 x+ -1 y^2+ 3 y

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Read 2 more answers

Given that f(x) = x2 + 6x – 2, g(x) = x – 7, and h(x) = x + 4 find each function. (g − f)(x)

Wewaii [24]

$(g-f)(x) = -x^2-5x-5$

Step-by-step explanation:

Given functions are:

$f(x) = x^2+6x-2\\g(x) = x-7\\h(x) = x+4$

The operations on functions can be performed just as they are performed on polynomials

$(g-f)(x)=g(x)-f(x)\\=(x-7)-(x^2+6x-2)\\=x-7-x^2-6x+2\\$

Combining like terms

$=-x^2+x-6x-7+2\\=-x^2-5x-5$

Hence,

$(g-f)(x) = -x^2-5x-5$

Keywords: Functions

Learn more about functions at:

#LearnwithBrainly

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3 years ago