III.- Sacar factor común

400.401.
\large x^{2}-xy\large 10x^{2}-5x
402.403.
\large 12b^{3}+8b^{2}\large 20m-30m^{2}
404.405.
\large 16x^{2}+12y\large 15a^{2}b+19ab^{2}
406.
\large 24x^{2}y^{3}z-40ay^{2}z^{3}
407.
\large 33a^{3}bc^{2}-55a^{2}b^{3}c^{4}
408.
\large 8a^{5}-12a^{3}+4a^{2}
409.
\large x^{2}yz-xy^{2}z+xyz^{2}
410.
\large ax^{4}-3a^{2}x^{3}+5a^{3}x^{2}
411.
\large 24a^{3}+20a^{2}b-16ab^{2}
412.
\large 20m^{4}-15m^{3}+10m^{2}-5m
413.
\large 40ax^{4}+32a^{2}x^{3}-48a^{3}x^{2}-16a^{4}x
414.
\large 14a^{4}b+12a^{3}b^{2}+8a^{2}b^{4}
415.
\large 18a^{4}b-6a^{4}b+9a^{3}b^{2}
416.
\large 4(x+y)+5(x+y)
417.
\large (a+b)x+(a+b)y
418.
\large 3a(a-b)-7y(a-b)
419.
\large (c-d)m-(c-d)3n
420.
\large x(2a-b)+3y(2a-b)
421.
\large (a^{2}+b^{2})x-(a^{2}+b^{2})y
422.
\large x^{2}y(ab-c)+(ab-c)
423.
\large x^{2}(ay-y)-y+ay
424.
\large (a+b)(a-b)+(a+b)^{2}
425.
\large (x^{2}-y^{2})(x^{2}+y^{2})-(x^{2}-y^{2})2x

Descomponer en factores mediante artificios:

426.427.
\large x^{2}-y^{2}\large a^{2}-b^{2}
428.429.
\large x^{2}-4\large a^{2}+1
430.431.
\large n^{2}-9\large b^{2}-100
432.433.
\large 49-y^{2}\large 9x^{2}-y^{2}
434.435.
\large a^{2}-25b^{2}\large 36x^{2}-49y^{2}
436.437.
\large x^{2}-\frac{1}{9}\large 4x^{2}-\frac{1}{4}
438.439.
\large \frac{1}{64}-9a^{2}\large x^{4}-y^{2}
440.441.
\large a^{2}x^{2}-b^{4}y^{4}\large x^{4}-25y^{2}
442.443.
\large 81a^{4}-36b^{4}\large 3a^{3}-3ax^{2}
444.445.
\large 2x^{2}-162\large 75a^{2}-48
446.447.
\large a^{4}-1\large x^{4}-y^{4}
448.449.
\large n^{4}-16\large y^{4}-81x^{4}
450.451.
\large (x+y)^{2}-z^{2}\large (a-b)^{2}-4c^{2}
452.453.
\large (x+y)^{2}-1\large 81-(2x-y)^{2}
454.
\large 64x^{2}-(8a+b)^{2}
455.
\large x^{2}+2x+1-y^{2}
456.
\large a^{2}-(a^{2}+2ab+b^{2})
457.
\large x^{2}-y^{2}-4x+4
458.
\large a^{2}-x^{2}+2xy-y^{2}
459.
\large (a+b)^{2}-(c+d)^{2}
460.
\large a^{2}+2ab+b^{2}+2cd-d^{2}
461.
\large (a+3)^{2}-(3a-6)^{2}
462.
\large (3x+9y)^{2}-(2x-5y)^{2}
463.
\large 4(a+b)^{2}-9(x+y)^{2}
464.
\large 25(x+y)^{2}-16(x-y)^{2}
465.
\large 4a^{2}-c^{2}+4cx+4x^{2}
466.
\large 1-9a^{2}-b^{2}+6ab
467.
\large 3a^{2}-6ab+3b^{2}-12c^{2}
468.
\large ax+ay+bx+by
469.
\large a^{2}+ac-4a-4c
470.
\large 4ay-2by+2az-bz
471.
\large x^{3}+x^{2}+x+1
472.
\large 3a^{4}+a^{3}+15a+5
473.
\large a^{2}c-a^{2}d-b^{2}d+b^{2}c
474.
\large 4x^{3}-3c+12x^{2}-cx
475.
\large x^{2}+2xy+y^{2}
476.
\large x^{2}+4x+4
477.
\large n^{2}+10n+25
478.
\large a^{2}+12ab+36b^{2}
479.
\large 9x^{2}+24xy+16y^{2}
480.
\large a^{2}-2ab+b^{2}
481.
\large x^{2}-4xy+4y^{2}
482.
\large 36m^{2}-12mn+n^{2}
483.
\large 4a^{2}-12ab+9b^{2}
484.
\large x^{2}-x+\frac{1}{4}
485.
\large 16a^{2}-\frac{8}{3}ab+\frac{1}{9}b^{2}
486.487.
\large x^{3}-y^{3}\large x^{2}+y^{3}
488.489.
\large x^{16}-y^{16}\large x^{6}-1
490.491.
\large ax^{3}+8ay^{3}\large a-b^{3}a
492
\large 4x^{4}+x^{3}-9x^{2}-9x
493.
\large a^{4}+4a^{2}b^{2}+16b^{4}
494.
\large x^{4}+3x^{2}y^{2}+4y^{4}
495.
\large 25x^{4}-19x^{2}y^{2}+y^{4}
496.
\large x^{3}+9x^{2}+26x+24
497.
\large x^{2}+y^{2}+2xy-4a^{2}+12ab-9b^{2}
498.
\large (my-nx)^{2}+(mx+ny)^{2}

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