Mathematics
Mathematics, 20.11.2021 14:00, misswonderless

Mustafa was asked whether the following equation is an identity: x(9x+3)+3(x+3)=9(x+1)^2x(9x+3)+3(x+ 3)=9(x+1)
2
x, left parenthesis, 9, x, plus, 3, right parenthesis, plus, 3, left parenthesis, x, plus, 3, right parenthesis, equals, 9, left parenthesis, x, plus, 1, right parenthesis, squared
He performed the following steps:
\begin{aligned} &\phantom{=}x(9x+3)+3(x+3) \xhookrightarrow{\text{Step }1}\quad&=9x^2+6x+9 \xhookrightarrow{\text{Step }2}\quad&=(3x+3)^2 \xhookrightarrow{\text{Step }3}\quad&=(3(x+1))^2 \xhookrightarrow{\text{Step }4}\quad&=9(x+1)^2 \end{aligned}
Step 1


Step 2


Step 3


Step 4




=x(9x+3)+3(x+3)
=9x
2
+6x+9
=(3x+3)
2

=(3(x+1))
2

=9(x+1)
2



For this reason, Mustafa stated that the equation is a true identity.
Is Mustafa correct? If not, in which step did he make a mistake?

answer
Answers: 2

Other questions on the subject: Mathematics

image
Mathematics, 21.06.2019 19:00, Maya629277
Zroms according to the synthetic division below, which of the following statements are true? check all that apply. 352 -2 6 -12 12 2 4 0 i a. (x-3) is a factor of 2x2 - 2x - 12. b. the number 3 is a root of f(x) = 2x2 - 2x - 12. c. (2x2 - 2x - 12) = (x + 3) = (2x + 4) d. (2x2 - 2x-12) - (x-3) = (2x + 4) e. (x+3) is a factor of 2x2 - 2x - 12. o f. the number -3 is a root of fx) = 2x2 - 2x - 12. previous
Answers: 2
image
Mathematics, 21.06.2019 22:00, jladinosolarsee
If tan2a=cot(a+60), find the value of a, where 2a is an acute angle
Answers: 1
image
Mathematics, 21.06.2019 23:30, amayax77
Find │–14│ a. 14 b. –14 c. start fraction 1 over 14 end fraction
Answers: 2
image
Mathematics, 22.06.2019 02:00, ummitsjustjae
Angie has saved 3/8 of the amount she needs to buy a bike. clive has saved 7/10 of the amount he needs to buy a skateboard. what is the difference between clive's and angie's fraction of savings?
Answers: 1
Do you know the correct answer?
Mustafa was asked whether the following equation is an identity: x(9x+3)+3(x+3)=9(x+1)^2x(9x+3)+3...

Questions in other subjects:

Konu
Mathematics, 23.11.2020 04:30