document.write( "Question 1394: Can you factorise 16-9y2 , x2+7x+12 , x3-x , 16-14t-2t2 , x4-2x2-8 please I really need this help!!!Thanks \n" ); document.write( "
Algebra.Com's Answer #465 by DeepaEvangeline(15)![]() ![]() ![]() You can put this solution on YOUR website! 16 - 9y2\r \n" ); document.write( "\n" ); document.write( "a2 - b2 = (a+b)(a-b)\r \n" ); document.write( "\n" ); document.write( "Here a = 4 and b = 3y \n" ); document.write( "= (4-3y)(4+3y)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x2+7x+12\r \n" ); document.write( "\n" ); document.write( "Multiply the coefficient of x2 and the constant. \n" ); document.write( "12 = 4 x 3 and when you add 4 and 3 you get 7 which is the co efficient of x.\r \n" ); document.write( "\n" ); document.write( "Therefore the above eqn can be written as \n" ); document.write( "x2 + 4x + 3x + 12 \n" ); document.write( "= x(x+4) + 3(x+4) \n" ); document.write( "= (x+3)(x+4)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x3-x = x(x2-1) \n" ); document.write( "= x(x+1)(x-1)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "16 - 14t - 2t2\r \n" ); document.write( "\n" ); document.write( "Multiply the coefficient of t2 and the constant \n" ); document.write( "16 x 2 = 32\r \n" ); document.write( "\n" ); document.write( "Represent 32 = 16 x 2 and when you subtract them (16-2) you get 14 which the co efficient of t.\r \n" ); document.write( "\n" ); document.write( "16 - 16t + 2t - 2t2 \n" ); document.write( "16(1-t) + 2t(1-t) \n" ); document.write( "(16+2t)(1-t) \n" ); document.write( "2(8+t)(1-t)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x4 - 2x2 - 8\r \n" ); document.write( "\n" ); document.write( "Multiply the coefficient of x4 and the constant \n" ); document.write( "1 x 8 = 8\r \n" ); document.write( "\n" ); document.write( "Represent 8 = 4 x 2 and when you subtract them (4-2) you get 2 which the co efficient of x2.\r \n" ); document.write( "\n" ); document.write( "x4 - 4x2 + 2x2 - 8 \n" ); document.write( "x2(x2-4) + 2(x2-4) \n" ); document.write( "(x2+2)(x2-4) \n" ); document.write( "(x2+2)(x-2)(x+2)\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |