algebra

Given: \((a^n)(a^m)=100{,}000\) and \(\frac{a^n}{a^m}=10\)
Find \(a\):

Give the factors of \(a^2-x^2\).

Factor the expression \(x^2+6x+8\) as completely as possible.

Find the value of \(k\) so that \(4x^2+6x+k\) is a perfect square.

Factor the expression \(3x^3-3x^2-18x\)

If \(p-q=5\) and \(pq=\frac{k}{2}\), then \(p^2+q^2\) equals

Find the value of \(x\) which will satisfy the following expression: \(\sqrt{x-2}=\sqrt{x}+2\)

Simplify \(\sqrt{\frac{ab}{\sqrt[3]{ab}}}\)

If \(x\) to the \(3/4\) power equals \(8\), \(x\) equals

Solve for \(x\): \(\sqrt{x+2\sqrt{2x+3}}-3=0\)

Solve for \(x\) from the given equation:
\(\sqrt[4]{8\sqrt[3]{2\sqrt{8x}}}=2\)

If \(f(x)=2x^2+2x+4\), what is \(f(2)\)?

What is the least common multiple of \(15\) and \(18\)?

What is the lowest common factor of \(10\) and \(32\)?

The numbers \(12\) and \(16\) has the greatest common divisor of

The polynomial \(x^3+4x^2-3x+8\) is divided by \(x-5\) then the remainder is,

Find the quotient of \(3x^5-4x^3+2x^2+36x+48\) divided by \(x^3-2x^2+6\).

Find the remainder if we divide \(4y^3+18y^2+8y-4\) by \((2y+3)\).

Given: \(f(x)=(x+3)(x-4)+4\). When \(f(x)\) is divided by \((x-k)\), the remainder is \(k\). Find \(k\).

The expression \(x^4+ax^3+5x^2+bx+6\) when divided by \((x-2)\) leaves a remainder of \(16\) and when divided by \((x+1)\) leaves a remainder of \(10\). Find \(a\) and \(b\).