Part 1: \(Expand \ 7x(x+4)\)
\(7x*x+7x*4\) \(Distribute\)
\(Use \ Product \ Rule\) \(x^ax^b=x^a^+^b\)
\(7x^2+7x*4\)
\(7x^2+28x\)
Part 2: \(4x(2x^3-7x^2+x)\)
\(4x*2x^3+4x*-7x^2+4x*x\) \(Distribute\)
\(4*2xx^3+4x*-7x^2+4x*x\)
\(Use \ Product \ Rule\) \(x^ax^b=x^a^+^b\)
\(4*2x^1^+^3+4x*-7x^2+4x*x\)
\(4*2x^4+4x*-7x^2+4x*x\)
\(8x^4-4*7xx^2+4x*x\) \(Gather \ like \ terms\)
\(8x^4-4*7x^1^+^2+4x*x\)
\(8x^4-4*7x^3+4x*x\)
\(8x^4-28x^3+4x*x\)
\(8x^4-28x^3+4x^2\)
Part 3: \(The \ largest \ number \ that \ divides \ evenly \ into \ 12x \ and \ 20 \ is \ 4.\)
\(GCF = 4\)
Hence Solved
