Question

(4x+2) (7x+5) Constant term=

Answer 1

• 28x² + 34x + 10

Explanation:

Hi! Our task is to simplify:

(4x + 2)(7x + 5)

We'll use a method called FOIL. This acronym stands for:

first, outside, inside, last

Multiply the first terms:
`\sf{4x*7x=28x^2}`

Multiply the outside terms:
`\sf{4x*5=20x}`

Multiply the inside terms:
`\sf{2*7x=14x}`

Multiply the last terms:
`\sf{2*5=10}`

We get:
`\sf{28x^2+20x+14x+10}`

Combine like terms:
`\sf{28x^2+34x+10}`

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Now, to find the constant, look for a term that's not multiplied by any variable; that term is 10.

Answer 2

Answer: 10

Explanation:

To find the constant term, we will multiply the two constant terms by each other. The constant terms aren't multiplied by any variables and will maintain their value without changing based on any variables.

2 * 5 = 10

The constant term in this expression, once expanded, is 10. Once fully expanded, the full expression is 28x² + 34x + 10. Again, the constant number that isn't multiplied by a variable is 10.