document.write( "Question 836110: if (x-2)(x+3)=k, what is (x-4)(x+5)? \n" ); document.write( "

Algebra.Com's Answer #503950 by josgarithmetic(39617) $\"\"$ $\"About$

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(x-2)(x+3)=k, what is (x-4)(x+5)\r
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\n" ); document.write( "\n" ); document.write( " $\"k=x%5E2%2Bx-6\"$
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\n" ); document.write( " $\"%28x-4%29%28x%2B5%29=x%5E2%2B1%2Ax-20=x%5E2%2Bx-20\"$ , a portion of which is k.
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\n" ); document.write( "\n" ); document.write( "c is some new unknown variable.
\n" ); document.write( " $\"-6%2Bc=-20\"$
\n" ); document.write( " $\"c=-20%2B6\"$
\n" ); document.write( " $\"highlight_green%28c=-14%29\"$
\n" ); document.write( "Reexpress x^2+x-20, using c.
\n" ); document.write( " $\"x%5E2%2Bx-6-14\"$
\n" ); document.write( " $\"%28x%5E2%2Bx-6%29-14\"$
\n" ); document.write( " $\"highlight%28k-14%29\"$
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\n" ); document.write( "(x-4)(x+5)=k-14, if (x-2)(x+3)=k \n" ); document.write( "

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