4y2 + 25y + 6
To factor 4y^2 + 25y + 6, you can split the middle term by finding two numbers whose product is equal to 4 * 6 (the product of the first and last terms) and whose sum is equal to the coefficient of the middle term, which is 25. In this case, the numbers are 4 and 1. So, you can rewrite the expression as (4y + 1)(y + 6).
In the equation x = 4y2 + 6 where x = 42, we need to substitute 42 for x and solve for y. x = 4y2 + 6 42 = 4y2 + 6 42 - 6 = 4y2 + 6 - 6 36 = 4y2 36 / 2 = 4y2 / 2 18 = 4y 18 / 4 = 4y / 4 9 / 2 = y 4 1/2 = y (or 4.5 = y)
(3 - 2y)(3 + 2y)
If you're looking to factor this expression, then you need to find two values that add up -20, and which multiply to make 4. Unfortunately, no such terms exist, so this expression can not be factored.
4y2 + 25y + 6
(4y + 1)(y + 6)
If the missing operational signs are pluses, it factors to (y + 6)(4y + 1)
To factor 4y^2 + 25y + 6, you can split the middle term by finding two numbers whose product is equal to 4 * 6 (the product of the first and last terms) and whose sum is equal to the coefficient of the middle term, which is 25. In this case, the numbers are 4 and 1. So, you can rewrite the expression as (4y + 1)(y + 6).
(y - 5)(4y - 5)
In the equation x = 4y2 + 6 where x = 42, we need to substitute 42 for x and solve for y. x = 4y2 + 6 42 = 4y2 + 6 42 - 6 = 4y2 + 6 - 6 36 = 4y2 36 / 2 = 4y2 / 2 18 = 4y 18 / 4 = 4y / 4 9 / 2 = y 4 1/2 = y (or 4.5 = y)
(3 - 2y)(3 + 2y)
There are four possibilities depending on the missing operational signs: 4y2 + 2y + 6 factors to 2(2y2 + y + 3) 4y2 + 2y - 6 factors to 2(y - 1)(2y + 3) 4y2 - 2y - 6 factors to 2(y - 1)(2y - 3) 4y2 - 2y + 6 factors to 2(2y2 - y + 3)
(5y - 2)(5y + 2)
(2y + 3)(4y2 - 6y +9)
Oh honey, you're in for a treat. The expression 10x - 25y can be simplified using the greatest common factor, which in this case is 5. So, you can rewrite it as 5(2x - 5y). Voila! That's the sassy math lesson of the day.
If you're looking to factor this expression, then you need to find two values that add up -20, and which multiply to make 4. Unfortunately, no such terms exist, so this expression can not be factored.