Productos Notables

Productos notables

a^2+2ab+b^2=(a+〖b)〗^2

1.- 〖16a〗^2+2(4a)(3b)+ 9b^2=16a^2+24ab+9b^2= (4a+3b)^22.-36x^2+2(6x)(7y)+49y^2=36x^2+84xy+49y^2= (6x+7y)^2

3.- 〖25x〗^4+3(〖5x〗^2 )(9y)+〖81y〗^2=〖25x〗^4+135x^2 y+〖81y〗^2= (〖5x〗^2+9y)^24.-〖144c〗^4+2(12c^2 )(9d^2 )+81d^4=〖144c〗^4+216c^2 d^2+81d^4=(〖12c〗^2+9d^2 )^2

a^2-b^2=(a+b)(a-b)
1.-〖9a〗^2-〖4x〗^2=(3a+2x)(3a-2x)

2.- 100x^2-81z^2=(10x+9z)(10x-9z)

3.- 25x^2 y^2-121m^2=(5xy+11m)(5xy-11m)

4.- 36x^4-64z^4 y^2=(6x+8z^2 y)(6x-8z^2y)

(a-b)^2=(a-b)(a-b)=a^2-2ab-b^2

1.- (2x-5y)(2x-5y)=4x^2-10xy-5y^2

2.-(6zy-10cn)(6zy-10cn)=36z^2y^2-120zycn+100c^2 n^2

3.-(7mn-8zx)(7mn-8zx)=49m^2 n^2-112mnzx+〖64z〗^2 x^2

4.- (9x^2-2y)(9x^2-2y)=〖81x〗^4-36x^2 y+〖4y〗^2(x+a)(x+b)=x^2+xa+xb+ab

1.-(x+y)(x+2z)=x^2+xy+2xz+2zy

2.- (4y+6m)(4y+3z)=〖4y〗^2+24ym+12yz+18mz

3.-(6mn+5x)(6mn+3d)=〖36m〗^2 n^2+30mnx+18mnd+15xd

4.-(6y^2+2x)(〖6y〗^2+12y)=〖36y〗^4+12xy^2+72y^3+24xy

(a+b)^3=a^3+〖3a〗^2 b+〖3ab〗^2+b^3

1.-(2x+3y)^3=〖8x〗^3+36x^2 y+54xy^2+〖27y〗^3

2.- (4n+3x)^3=64n^3+144n^2 x+108nx^2+27x^3

3.-(6xy+4z)^2=216x^3 y^3+432x^2y^2+288xyz^2+64z^3

4.-(4n+5z)^3=64n^3+3(4〖n)〗^2 (5z)+3(4n)(5〖z)〗^2+125z^3=64n^3+320n^2 z+300nz^2+125z^3