22 = z + (-9) Switch the sides
z = 22 - (-9) Solve
z = 31 So, z = 31
She used the associative property which should only be used with positive numbers (sorry if it isn't the answer you're looking for)
Answer:
(x+a) (x+b)=x(x+b)+a(x+b)=x²+bx+ax+ab=x²+x(a+b)+ab
okay well usually what I would tell you would be to use the ABC method. you would multiply A (2) by C (6) to get twelve. so you need two numbers that multiply to twelve and add to -4 (the B value). but there are no numbers that fit this description so you have to use the GCF method instead
for this method you must find the GCF for all three numbers which in this case is 2. 2(x^2-2x+3) all these numbers are now prime so this is the factored form
Answer:
a. 11x + d
b. 15m + 10n
Step-by-step explanation:
a. 2(4c+5d) + 3(x-3d)
Break the brackets:
2*4c + 2*5d + 3*x - 3*3d
= 8x + 10d + 3x - 9d
Collect like termsL
= 8x + 3x + 10d - 9d
= 11x + 1d
b. 6(3m+n) - 4(m-n)
Break the brackets:
= 6*3m + 6*n - 3*m - 4*(-n)
= 18m + 6n - 3m - (-4n)
= 18m -3m + 6n + 4n
= 15m + 10n
Hope this helped :3
