Algebraic Expressions

Expand and simplify.

(a) \(3(x+6)+4(2 x-5)\)   (b) \((x+3)(4 x-5)\)   (c) \((\sqrt{a}+\sqrt{b})(\sqrt{a}-\sqrt{b})\)   (d) \((2 x+3)^{2}\)  (e) \((x+2)^{3}\)

Factor the expression.  solution

(a) \(x^2+3x \)   (b) \(2x^3+4x \)   (c) \( x^3-4x \)   (d) \( x^3+9x \)   (e) \(x^2-5x+6 \)   (f) \(x^2-x-6 \)

Factor the expression.   solution

(a) \(x^2+7x+3 \)   (b) \(x^2-x-6 \)   (c) \(6x^2+x-1\)   (d) \(3x^2-14x+8 \)