$4(m+7)+(m+3)^2=(m+3)(m+7)+16\\\\L_S=4(m+7)+(m+3)^2\\\\\text{use the distributive property}:a(b+c)=ab+ac\\\text{and formula}:\ (a+b)^2=a^2+2ab+b^2\\\\L_S=(4)(m)+(4)(7)+m^2+2(m)(3)+3^2\\\\L_S=4m+28+m^2+6m+9\qquad\text{combine like terms}\\\\L_S=m^2+(4m+6m)+(28+9)\\\\L_S=m^2+10m+37$

$R_S=(m+3)(m+7)+16\\\\\text{use FOIL}:(a+b)(c+d)=ac+ad+bc+bd\\\\R_S=(m)(m)+(m)(7)+(3)(m)+(3)(7)+16\\\\R_S=m^2+7m+3m+21+16\qquad\text{combine like terms}\\\\R_S=m^2+(7m+3m)+(21+16)\\\\R_S=m^2+10m+37\\\\\boxed{L_S=R_S}$

4 0

2 years ago

6x+2y= −10 slope int form

valentinak56 [21]

Answer:

y = -3x -5

Step-by-step explanation:

Slope intercept form is

y = mx+b where m is the slope and b is the y intercep

6x+2y = -10

Subtract 6x from each side

6x+2y -6x = -6x-10

2y = -6x-10

Divide each side by 2

2y/2 = -6x/2 -10/2

y = -3x -5

7 0

1 year ago

Read 2 more answers

Need help with my math simplify

nlexa [21]

2+42/-2-5(-3) Multiply -5 and -3.

2+42/-2+15 Now, add the non fraction numbers. (2 and 15)

17+42/-2 Here, you want to reduce the fraction if you can, and yes, you can. Find the divisible number that is the lowest one that both can be evenly divided by. For this problem, it’s -2.

17-21. And from here, its easy. Just a simple subtraction problem.

-4 should be the correct answer.

3 0

3 years ago