Factorise (2x+3y)^(2)+14(2x+3y)(3x-y)-32...

Factorise `(2x+3y)^(2)+14(2x+3y)(3x-y)-32(3x-y)^(2)`.

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AI Generated Solution

To factorise the expression \((2x + 3y)^2 + 14(2x + 3y)(3x - y) - 32(3x - y)^2\), we can follow these steps: ### Step 1: Substitute Variables Let \( a = 2x + 3y \) and \( b = 3x - y \). This transforms our expression into: \[ a^2 + 14ab - 32b^2 \] ...

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NAGEEN PRAKASHAN-POLYNOMIALS-Revision Exercise (short Answer Questions)

Factorise (2x+3y)^(2)+14(2x+3y)(3x-y)-32(3x-y)^(2).
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