Question

1) Представьте в виде многочлена a) (3a+b)2 b) (0,7x+6)2 c) (ab – 4)2 d) (x2+0,5y)2 e) (3a3– b2)2

Answer 1

Ответ:

a) (3a+b)^2=3a^2+6ab+b^2

Answer 2

1) a + (3a + b)^2 = a + (3a + b)(3a + b) = a + 9a^2 + 3ab + 3ab + b^2 = a + 9a^2 + 6ab + b^2 2) (0.7x + 6)^2 = (0.7x + 6)(0.7x + 6) = 0.49x^2 + 2.1x + 2.1x + 36 = 0.49x^2 + 4.2x + 36 3) (ab - 4)^2 = (ab - 4)(ab - 4) = a^2b^2 - 4ab - 4ab + 16 = a^2b^2 - 8ab + 16 4) (x^2 + 0.5y)^2 = (x^2 + 0.5y)(x^2 + 0.5y) = x^4 + 0.5yx^2 + 0.5yx^2 + 0.25y^2 = x^4 + yx^2 + 0.25y^2 5) (3a^3 - b^2)^2 = (3a^3 - b^2)(3a^3 - b^2) = 9a^6 - 3a^3b^2 - 3a^3b^2 + b^4 = 9a^6 - 6a^3b^2 + b^4