Question

HELP! multiply k + 3/4k - 2 • (12k^2 - 3)

Answer 1

`(k+3)/(4k-2)\cdot(12k^2-3)=((k+3)(12k^2-3))/((2)(2k)-(2)(1))\\\\=((k+3)[(3)(4k^2)-(3)(1)])/(2(2k-1))=((k+3)(3)(4k^2-1))/(2(2k-1))\\\\=(3(k+3)[(2k)^2-1^2])/(2(2k-1))=(3(k+3)(2k-1)(2k+1))/(2(2k-1))=(3(k+3)(2k+1))/(2)`

`\text{Used}\\\\a(b\pm c)=ab\pm ac\\\\a^2-b^2=(a-b)(a+b)`