To expand the given expression we proceed as follows: (6x²-2x-6)(8x²+7x+8) =6x²(8x²+7x+8)-2x(8x²+7x+8)-6(8x²+7x+8) =48x⁴+42x³+48x²-16x³-14x²-16x-48x²-42x-48 putting like terms together: 48x⁴+(42x³-16x³)+(48x²-48x²)+(-16x-42x)-48 =48x⁴+26x³+0x²-58x-48 hence the answer is: 48x⁴+26x³-58x-48