Mustafa was asked whether the following equation is an identity:x(9x+3)+3(x+3)=9(x+1)2He performed the following steps:x(9x+3)+3(x+3)↪ Step 1=9x2+6x+9↪ Step 2=(3x+3)2↪ Step 3=(3(x+1))2↪ Step 4=9(x+1)2For this reason, Mustafa stated that the equation is a true identity.Is Mustafa correct? If not, in which step did he make a mistake?Choose 1 answer:(A) Mustafa is correct.(B) Mustafa is incorrect. He made a mistake in step 1.(C) Mustafa is incorrect. He made a mistake in step 2.(D) Mustafa is incorrect. He made a mistake in step 4.
Q. Mustafa was asked whether the following equation is an identity:x(9x+3)+3(x+3)=9(x+1)2He performed the following steps:x(9x+3)+3(x+3)↪ Step 1=9x2+6x+9↪ Step 2=(3x+3)2↪ Step 3=(3(x+1))2↪ Step 4=9(x+1)2For this reason, Mustafa stated that the equation is a true identity.Is Mustafa correct? If not, in which step did he make a mistake?Choose 1 answer:(A) Mustafa is correct.(B) Mustafa is incorrect. He made a mistake in step 1.(C) Mustafa is incorrect. He made a mistake in step 2.(D) Mustafa is incorrect. He made a mistake in step 4.
Expand and Simplify: Check if the right side of the equation simplifies to the same expression.9(x+1)2=9(x2+2x+1)Expand the squared term.=9x2+18x+9
Compare Left and Right: Compare the left side from Step 1 with the right side from Step 2.Left side: 9x2+6x+9Right side: 9x2+18x+9The two expressions are not equal because the coefficients of x are different.
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