document.write( "Question 1037982: factorize 9x square - 4(y 2x)square \n" ); document.write( "

Algebra.Com's Answer #652663 by addingup(3677) $\"\"$ $\"About$

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Factor the following:
\n" ); document.write( "9x^2-4(y2x)^2
\n" ); document.write( "9x^2-4*2^2y^2x^2
\n" ); document.write( "2^2 = 4:
\n" ); document.write( "9x^2-4*4y^2x^2
\n" ); document.write( "-4×4 = -16:
\n" ); document.write( "9x^2+-16y^2x^2
\n" ); document.write( "x^2(9-16 y^2)
\n" ); document.write( "Factor -1 out of 9-16 y^2:
\n" ); document.write( "x^2×-(16 y^2-9)
\n" ); document.write( "16y^2-9 = (4y)^2-3^2:
\n" ); document.write( "-x^2(4 y)^2-3^2
\n" ); document.write( "Factor the difference of two squares: (4y)^2-3^2 = (4y-3)(4 y+3)And you get your factor: -x^2(4y-3)(4y+3) \n" ); document.write( "

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