Задание 340

Решение:

• $${\largeа)}\ (a^2+b)^2=(a^2)^2+2a^2b+b^2=a^4+2a^2b+b^2$$

• $${\largeб)}\ (x+y^3)^2=x^2+2xy^3+(y^3)^2=x^2+2xy^3+y^6$$

• $${\largeв)}\ (m^2+n^2)^2=(m^2)^2+2m^2n^2+(n^2)^2=m^4+2m^2n^2+n^4$$

• $${\largeг)}\ (p^3+q^5)^2=(p^3)^2+2p^3q^5+(q^5)^2=p^6+2p^3q^5+q^{10}$$

• $${\largeд)}\ (ab+c)^2=(ab)^2+2abc+c^2=a^2b^2+2abc+c^2$$

• $${\largeе)}\ (x+yz)^2=x^2+2xyz+(yz)^2=x^2+2xyz+y^2z^2$$

• $${\largeж)}\ (3m+n^3)^2=(3m)^2+2\cdot3mn^3+(n^3)^2=9m^2+6mn^3+n^6$$

• $${\largeз)}\ (2p+3q^2)^2=(2p)^2+2\cdot2p\cdot3q^2+(3q^2)^2=4p^2+12pq^2+9q^4$$

• $${\largeи)}\ (3ab^2+2c^3)^2=(3ab^2)^2+2\cdot3ab^2\cdot2c^3+(2c^3)^2=9a^2b^4+12ab^2c^3+4c^6$$