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[tex]A=(7x-8)(5x+4)-(7x-8)(x-1)\\ A=(7x-8)(5x+4)+(7x-8)(1-x)\\ A=(7x-8)(5x+4+1-x)=(7x-8)(4x+5)\\\\ B=(3x-5)(3x-5)+(3x-5)(2x+9)=(3x-5)(3x-5+2x+9)\\ B=(3x-5)(5x+4)\\\\ C=x^2+2\times 4 \times x + 4^2 = (x+4)^2\\\\ D=x^2-2\times 3 \times x + 3^2 = (x-3)^2[/tex]

A=(7x-8)((5x+4)-(x-1)
=(7x-8)(5x+4-x+1)
=(7x-8)(4x+5)

B=(3x-5)((3x-5)+(2x+9)
=(3x-5)(3x-5+2x+9)
=(3x-5)(5x+4)

C=x²+8x+16
=(x+4)²

D=x²-6x+9
=(x-3)²