y2 + 12y + 35 = ( y + 7 ) ( y + 5 )Explanation:
You need to use a diamond equation, which looks like an X. The number 35 will go on the top of the X, and the 12 on the bottom. Now, you need to figure out what two numbers you can multiply together to get the top number as the result, and add those same two numbers you multiplied to get the bottom number as the result. At this point, it is a guess and check, and there is no method to figure this part out. In this equation, the numbers 7 and 5 work, because 7 X 5 = 35 (the top number), and 7 + 5 = 12 (the bottom number). Now, you just take the variable (which is y), and put them in parentheses, to make the answer shown above.
(5x - 7)(7x + 5)
It cannot be simplified any further, so it is: x² + 2x - 35
To factor the expression (x^2 - 12x + 35), we need to find two numbers that multiply to 35 (the constant term) and add to -12 (the coefficient of the linear term). The numbers -5 and -7 satisfy these conditions since (-5 \times -7 = 35) and (-5 + (-7) = -12). Therefore, the factored form is ((x - 5)(x - 7)).
11, 14, 19, 26 and 35.
To factor the expression (21x + 35), first identify the greatest common factor (GCF) of the coefficients, which is 7. You can then factor out 7 from the expression: (21x + 35 = 7(3x + 5)). Thus, the factored form is (7(3x + 5)).
35
(2b - 5)(b + 7)
If that were + 35, it would factor to (x + 5)(x + 7) As it is, it doesn't factor neatly. Applying the quadratic formula, we find two real solutions: -6 plus or minus the square root of 71 x = 2.426149773176359 x = -14.426149773176359
The answer to 5 squared plus 10 is found by squaring 5 (or multiplying it by itself, e.g. 5 * 5) which equals 25, and then adding 10 giving us 35. Therefore 5 squared plus ten = 35
The GCF of 35 a^2 and 85ab is 5a. The GCF of 35 and 85 is 5, and the GCF of a squared and ab is a.
(5x - 7)(7x + 5)
It cannot be simplified any further, so it is: x² + 2x - 35
35 squared is 35 x 35 or 35^2 or 1,225.
To factor the expression (x^2 - 12x + 35), we need to find two numbers that multiply to 35 (the constant term) and add to -12 (the coefficient of the linear term). The numbers -5 and -7 satisfy these conditions since (-5 \times -7 = 35) and (-5 + (-7) = -12). Therefore, the factored form is ((x - 5)(x - 7)).
11, 14, 19, 26 and 35.
35 squared can be written as 352
(x - 5)(5x - 7)