20(x+5)+25+4(x+5)+4(x+y)² 分解因式

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20(x+5)+25+4(x+5)+4(x+y)² 分解因式

20(x+5)+25+4(x+5)+4(x+y)² 分解因式
20(x+5)+25+4(x+5)+4(x+y)² 分解因式

20(x+5)+25+4(x+5)+4(x+y)² 分解因式
原式=24x+1+12²+4(x+y)²
=【2²(x+y)²+12²】+24x+1
=【2x+2y+12】²-48y-24x+1
=【2x+2y+12】²+1²-24(x+2y)
=【2x+2y+13】²-(28x+52y+24)
=4【x+y+13/4】²-4(7x+13y+6)
=4【(x+y+13/4)²-7x-13y-6】;

解原式=24x+1+12²+4(x+y)²
=【2²(x+y)²+12²】+24x+1
=【2x+2y+12】²-48y-24x+1
=【2x+2y+12】²+1²-24(x+2y)
=【2x+2y+13】²-(28x+52y+24)
=4【x+y+13/4】²-4(7x+13y+6)
=4【(x+y+13/4)²-7x-13y-6】