Logiciel libre de géométrie, d'analyse et de simulation multiplateforme par Yves Biton

Accueil – Exercices en ligne – Exercices en anglais – Niveau moyen

Expanding and factorizing

modification lundi 27 septembre 2026.


Expanding

Factorizing ax+b by level

Factorizing the variable

Recognizing a remarkable square

Maximal factorizing by formula a² - b²

Maximal factorizing by ax+b by formula

Non maximal factorizing by ax+b by formula

Expanding

Expanding ax*(bx+c)  : Level 1

Expanding ax*(bx+c)  : Level 2

Expanding (ax+b)*(cx+d)  : Level 1

Expanding (ax+b)*(cx+d)  : Level 2

Expanding and reducing (ax+b)*(cx+d)+nx+p

Expanding (x+b)²

Expanding (ax+b)²

Expanding (x-b)²

Expanding (ax-b)²

Expanding (ka+pb)² with k>=2 and p>=1

Expanding (ka-pb)² with k>=2 and p>=1

Expanding (kx+py)² with k>=2 and p>=1

Expanding (kx+py)² with k>=2 and |p|>=1

Expanding (ka+pb)² with k>=2 and |p|>=1

Expanding (-x-b)²

Expanding (x/a ± b)² with a ≥ 2 and b ≥ 1

Expanding a√k(b+c√k)

Expanding (a√k+b)²

Expanding (a+b√k)(c+d√k)

Expanding (a*√(b)x+c)²

Expanding (ax+b*√(c))²

Expanding (ax-b*√(c))²

Expanding and reducing f(k+h) with f(x)=ax²+bx+c

Factorizing by level

Factorization by ax+b  : Level 1

Factorization by ax+b  : Level 2

Factorization by ax+b  : Level 3

Factorization by ax+b  : Level 4

Factorization of a²-b²  : Level 1

Factorization of a²-b²  : Level 2

Factorizing the variable

Maximal factorization of bx²+cx or ba²+ca (1)

Maximal factorization of bx²+cx or ba²+ca (2)

Maximal factorization of ax²+kx

Non-maximal factorization of ax²+kx

Factorization of kbx+kc or kba+ka (positive coefficients)

Recognizing a remarkable square

Recognize a remarkable square  : (x ± b)²

Recognize a remarkable square  : (ax ± b)²

Recognize a remarkable square  : (x/a ± b)²

Recognize a remarkable square  : (√(a)x ± b)²

Maximal factorizing by formula using a² - b² special product

Maximal factorization of a²x² - b²

Maximal factorization of x² - b

Maximal factorization of a²x² - bc²

Non-maximal factorization of a²x² - b²

Non-maximal factorization of x² - b

Non-maximal factorization of a²x² - bc²

Maximal factorization of a²x²-(bx+c)²

Maximal factorization of (ax+b)²-c²

Maximal factorization of c² - (ax + b)²

Maximal factorization of (ax+b)²-(cx+d)²

Non-maximal factorization of (ax+b)²-c²

Non-maximal factorization of c² - (ax + b)²

Non-maximal factorization of (ax+b)²-(cx+d)²

Maximal factorization of a²x² - b² with b = 2a or b = 3a

Maximal factorizing by ax+b by formula

Maximal factorization of (ax+b)(cx+d)+ka²x²-kb²

Maximal factorization of a²x²-b²-k(ax+b)(cx+d)

Maximal factorization of (cx+d)(b+ax)+k(b+ax)

Maximal factorization of (cx+d)(ax+b)+k(ax+b)

Maximal factorization of (cx+d)(ax+b)-k(ax+b)

Maximal factorization of (ax+b)(cx+d)-k(a²x²-b²)

Maximal factorization of (ax+b)(cx+d)+k(a²x²-b²)

Maximal factorization of (ax+b)²-k(ax+b)(cx+d)

Maximal factorization of (ax+b)²+k(ax+b)(cx+d)

Maximal factorization of (-ax-b)²+k(ax+b)(cx+d)

Maximal factorization of (ax+b)(cx+d)-(-kax-kb)(ex+f)

Maximal factorization of (ax+b)(cx+d)+(-kb-kax)(ex+f)

Maximal factorization of (ax+b)(cx+d)+(kax+kb)(ex+f)

Maximal factorization of (ax+b)(cx+d)+k(ax+b)(ex+f)

Maximal factorization of (cx+d)(ax+b)-k(ex+f)(ax+b)

Maximal factorization of (b+ax)(cx+d)+k(b+ax)(ex+f)

Maximal factorization of (b+ax)(cx+d)-k(b+ax)(ex+f)

Maximal factorization of (ax+b)(cx+d)-k(ax+b)(ex+f)

Maximal factorization of (ax+b)(cx+d)-k(ex+f)(ax+b)

Maximal factorization of (cx+d)(ax+b)+k(ex+f)(ax+b)

Maximum factorization of a²x²-b²+k(ax+b)(cx+d)

Maximum factorization of a²x²-b²+k(ax+b)(cx+d)

Non maximal factorizing by ax+b by formula

Non-maximal factorization of (ax+b)(cx+d)+ka²x²-kb²

Non-maximal factorization of a²x²-b²+k(ax+b)(cx+d)

Non-maximal factorization of (cx+d)(ax+b)-k(ax+b)

Non-maximal factorization of (cx+d)(b+ax)+k(b+ax)

Non-maximal factorization of a²x²-b²-k(ax+b)(cx+d)

Non-maximal factorization of (cx+d)(ax+b)+k(ax+b)

Non-maximal factorization of (ax+b)²+(kax+kb)(cx+d)

Non-maximal factorization of (ax+b)(cx+d)-k(a²x²-b²)

Non-maximal factorization of (ax+b)(cx+d)+k(a²x²-b²)

Non-maximal factorization of (-ax-b)²+k(ax+b)(cx+d)

Non-maximal factorization of (ax+b)²+k(ax+b)(cx+d)

Non-maximal factorization of (ax+b)(cx+d)-(-kax-kb)(ex+f)

Non-maximal factorization of (ax+b)(cx+d)+(-kax-kb)(ex+f)

Non-maximal factorization of (ax+b)(cx+d)+(kax+kb)(ex+f)

Non-maximal factorization of (ax+b)(cx+d)+(kax+kb)(ex+f)

Non-maximal factorization of (ax+b)(cx+d)+(-kb-kax)(ex+f)

Non-maximal factorization of (b+ax)(cx+d)+k(b+ax)(ex+f)

Non-maximal factorization of (cx+d)(ax+b)+k(ax+b)(ex+f)

Non-maximal factorization of (cx+d)(ax+b)-k(ex+f)(ax+b)

Non-maximal factorization of (ax+b)(cx+d)-k(ax+b)(ex+f)

Non-maximal factorization of (b+ax)(cx+d)-k(b+ax)(ex+f)

Non-maximal factorization of (cx+d)(ax+b)+k(ex+f)(ax+b)

Non-maximal factorization of (ax+b)(cx+d)-k(ex+f)(ax+b)

Non-maximal factorization of (ax+b)(cx+d)+k(ax+b)(ex+f)

Non-maximal factorization of (ax+b)²-k(ax+b)(cx+d)