Question

Thực hiện phép tính

a) 68^2 + 64.68 + 32^2

b) ( x^3 - 6x^2 - 9x + 14 ) : ( x - 7 )

Phân tích đa thức thành nhân tử

a) 3ax - 6x - 2a^2 + 4a

b) x^3 + x^2y + 5x + 5y

c) 36a^2 - c^2 - 9b^2 - 6bc

d) x^2 - 8xy + 15y^2

Answer 1

\(68^2+64.68+32^2\)

\(=68^2+2.32.68+32^2\)

\(=\left(68+32\right)^2\)

\(=100^2\)

\(=10000\)

Answer 2

Mấy câu sau ai giải hộ tớ với.

Answer 3

\(3ax-6x-2a^2+4a\)

\(=3x.\left(a-2\right)-2a.\left(a-2\right)\)

\(=\left(a-2\right).\left(3x-2a\right)\)

\(x^3+x^2y+5x+5y\)

\(=x^2.\left(x+y\right)+5.\left(x+y\right)\)

\(=\left(x+y\right)\left(x^2+5\right)\)

\(x^2-8xy+15y^2\)

\(=\left[x^2-2.4xy+\left(4y\right)^2\right]-y^2\)

\(=\left[x-4y\right]^2-y^2\)

\(=\left(x-4y-y\right)\left(x-4y+y\right)\)

\(=\left(x-5y\right)\left(x-3y\right)\)