TEST 14
1.
\(\samefrac{399^2-101^2}{299^2-201^2}=?\)
A) \(\samefrac{198}{101}\)B) \(2\)C) \(\samefrac{151}{74}\)D) \(\samefrac{298}{99}\)E) \(\samefrac{149}{49}\)
2.
\(\left.\begin{aligned}A&=2011\\B&=2009\end{aligned}\right\}\)
\(\Rightarrow\ A^2+B^2-2AB=?\)
A) \(1\)B) \(2\)C) \(4\)D) \(6\)E) \(9\)
3.
\(x=971\)
\(y=968\)
\(\Rightarrow\ \left(x+y\right)^2-4xy=?\)
A) \(1\)B) \(4\)C) \(9\)D) \(16\)E) \(25\)
4.
\(a=303\)
\(b=101\)
\(\Rightarrow\ \samefrac{\left(a+b\right)^2-4ab}{\left(a-b\right)^2+4ab}=?\)
A) \(\samefrac1{16}\)B) \(\samefrac14\)C) \(1\)D) \(4\)E) \(6\)
5.
\(\left(2a-1\right)^2-\left(3a+1\right)^2=?\)
A) \(\left(2-a\right)\left(5a\right)\)B) \(\left(2-a\right)\left(3a\right)\)C) \(\left(a+2\right)\left(-5a\right)\)D) \(\left(a+3\right)\left(-5a\right)\)E) \(\left(2+a\right)\left(-3a\right)\)
6.
\(\left(a+b+c\right)^2-\left(a-b-c\right)^2=?\)
A) \(2b\left(a+c\right)\)B) \(2a\left(b-c\right)\)C) \(2a\left(b+c\right)\)D) \(4a\left(b+c\right)\)E) \(4b\left(a+c\right)\)
7.
\(\samefrac{\left(2a-b+c\right)^2-\left(a+b-c\right)^2}{a-2b+2c}=?\)
A) \(3a\)B) \(a-b+c\)C) \(3a-2b+2c\)D) \(a-2b-2c\)E) \(3\)
8.
\(\sqrt{2007\cdot1993+49}=?\)
A) \(2007\)B) \(2003\)C) \(2000\)D) \(1997\)E) \(1993\)