Question

( factor the following polynomials by finding the greatest common factor. Check your answers by re-distributing )

Answer 1

$13)~18a^2bc^2-48abc^3=6abc^2(3a-8c)\\\\ 14)~10x^2y^2-8xy=2xy(5xy-4)\\\\ 15)~5x-13y\to\text{It's factored}\\\\ 16)~2x^2y-2xy^2+4xy=2xy(x-y+2)\\\\ 17)~6y^4+14y^3-10y^2=2y^2(3y^2+7y-5)\\\\ 18)~12a^5b^2-36a^4b^3-6a^2b^2=6a^2b^2(2a^3-6a^2b-1)\\\\ 19)~14gh^2+28gh+14h=14h(gh+2g+1)\\\\ 20)~18x^2yz-24xz^2+36yz^3=6z(3x^2y-4xz+6yz^2)\\\\ 21)~m^3n-m^2n^2+5mn^3=mn(m^2-mn+5n^2)\\\\ 22)~16xy^2+28xy+8y=4y(4xy+7x+2)\\\\ 23)~35a^2-20ab^2+15a=5a(7a-4b^2+3)\\\\ 24)~3a^3b^2c-9a^2b^3c^2+15ab^4c^3=3ab^2c(a^2-3abc+5b^2c^2)$