(1)57*99+44*99 (2)9x^2+16(x+y)^2-24x(x+y) 因式分解

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(1)57*99+44*99 (2)9x^2+16(x+y)^2-24x(x+y) 因式分解
(1)57*99+44*99 (2)9x^2+16(x+y)^2-24x(x+y) 因式分解

(1)57*99+44*99 (2)9x^2+16(x+y)^2-24x(x+y) 因式分解
57*99+44*99
=99*(44+57)
=99*101
=(100-1)(100+1)
=100²-1
=10000-1
=9999
9x^2+16(x+y)^2-24x(x+y)
=[3x-4(x+y)]²
=(3x-4x-4y)²
=(-x-4y)²
=(x+4y)²

1)57*99+44*99
=99(57+44)
=(100-1)(100+1)
=100^2-1
=9999
(2)9x^2+16(x+y)^2-24x(x+y)
=(3x)^2--2*3*4x(x+y)+(4(x+y))^2
=(3x-4x-4y)^2
=(x+4y)^2