Simplify (x − 7)(x − 5) using the FOIL method, and identify the resulting expression in standard form.
https://prnt. sc/redzi4

First:  x^2

Outer:  -5x

Inner:  -7x

Last:  35

Final Result:  x^2 - 12x + 35

Step-by-step explanation:

Step 1:  Foil the expression

(x - 7)(x - 5)

To foil, you multiply the first my the first, the first by the second, the second by the first, and the second by the second.

(x - 7)(x - 5)

(x * x) + (x * -5) + (-7 * x) + (-7 * -5)

1 by 1     1 by 2     2 by 1     2 by 2

x^2  -  5x   -   7x  +   35

first   outer   inner   last

x^2 - 12x + 35

 x^2 - 12x + 35

y-y1=4(x-x1)

step-by-step explanation:

this is point-slope form since you only have 4 as the slope it goes in place of m

hope this : )

starting with:    

5 + x - 12 = 2x - 7   

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)   

5 - 12 = x - 7 (combine and cancel x's from both sides)   

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)   

0 = x (add numbers together on both sides)       

so in order for the equation to be true, x must be 0.   

trying x = -0.5   

5 + x - 12 = 2x - 7 (original equation)   

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)   

5 + -0.5 - 12 = -1 - 7 (did multiplication)   

-7.5 = -8 (did addition on both sides)       

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.   

trying x = 0   

5 + x - 12 = 2x - 7 (original equation)   

5 + 0 - 12 = 2(0) - 7 (plug in value of x)   

5 + 0 - 12 = 0 - 7 (did multiplication)   

-7 = -7 (did addition on both sides)       

since -7 equals -7, that demonstrates that the value of 0 for x is correct.   

trying x = 1   

5 + x - 12 = 2x - 7 (original equation)   

5 + 1 - 12 = 2(1) - 7 (plug in value of x)   

5 + 1 - 12 = 2 - 7 (did multiplication)   

-6 = -5 (did addition on both sides)       

since -6 is obviously not equal to -5, the value of 1 for x is wrong.