Question

Write 5(6x+4)-2(5x-2) in the form a(bx+c) where a,b and c integers and a>1

Answer 1

4(5x + 6)

Explanation:

`5(6x+4)-2(5x-2)\qquad\text{use distributive property}\ a(b+c)=ab+ac\\\\=(5)(6x)+(5)(4)+(-2)(5x)+(-2)(-2)\\\\=30x+20-10x+4\qquad\text{combine like terms}\\\\=(30x-10x)+(20+4)\\\\=20x+24`

`20x=4\cdot5x\\\\24=4\cdot6\\\\20x+24=4(5x+6)`