document.write( "Question 1093852: Can you please help with the following problem, i am really struggling:
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document.write( " Multiply and simplify: (2𝑥^2 + 3𝑥 + 6)(6𝑥^2 + 𝑥 − 6) \r
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document.write( "Thanks \n" );
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Algebra.Com's Answer #708470 by Theo(13342)![]() ![]() You can put this solution on YOUR website! you use the distributive law of multiplication.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that law states:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a * (b + c) = a*b + a*c\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(a + b) * (c + d) = a*c + a*d + b*c + b*d\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "here's my worksheet using this law on your problem.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " ![]() \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " ![]() \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this particular problem would generically be as follows:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "(a + b + c) * (d + e + f)\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "equals a * (d + e + f) \r\n" ); document.write( " + b * (d + e + f)\r\n" ); document.write( " + c * (d + e + f)\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "which equals (a*d) + (a*e) + (a*f)\r\n" ); document.write( " + (b*d) + (b*e) + (b*f)\r\n" ); document.write( " + (c*d) + (c*e) + (c*f)\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "which equals ad + ae + af\r\n" ); document.write( " + bd + be + bf\r\n" ); document.write( " + cd + ce + cf\r\n" ); document.write( "\r\n" ); document.write( "\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the rest was just combining like terms.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "to test if you did it correctly, then choose a random value for x and evaluate the original expression and the final expression.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if they both come up with the same answer, then you did good.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "i used x = 25 and came up with 5016539 using both the original expression and the final expression, so i think i did good.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |