Solve 2x − 3y = 6, x + y = 1

Find the LCM of the following
8x⁴y², 48x²y⁴

Find the LCM of the given expressions.
4x²y, 8x³y²

Find the LCM and GCD for the following and verify that f(x) x g(x) = LCM x GCD
21x²y, 35 xy²

Reduce each of the following rational expressions to its lowest form.
\(\frac { { x }^{ 2 }-1 }{ { x }^{ 2 }+x } \)

Find the excluded values, if any of the following expressions.
\(\frac { y }{ { y }^{ 2 }-25 } \)

Multiply \(\frac { { x }^{ 3 } }{ 9{ y }^{ 2 } } \) by \(\frac {27y} {x^{5}}\)

Find
\(\frac { 14{ x }^{ 4 } }{ y } \div \frac { 7x }{ 3{ y }^{ 4 } } \)

Simplify \(\frac { 1 }{ { x }^{ 2 }-5x+6 } +\frac { 1 }{ { x }^{ 2 }-3x+2 } -\frac { 1 }{ { x }^{ 2 }-8x+15 } \)

Simplify
\(\frac { x\left( x+1 \right) }{ x-2 } +\frac { x\left( 1-x \right) }{ x-2 } \)

Find the square root of the following expressions
256(x - a)⁸ (x - b)⁴ (x - c)¹⁶ (x - d)²⁰

Find the square root of the following
4x² + 20x + 25

Find the zeroes of the quadratic expression x² + 8x + 12

Write down the quadratic equation in general form for which sum and product of the roots are given below.
9, 14

Find the sum and product of the roots for each of the following quadratic equations:
x² + 8x - 65 = 0