Question

find the product using suitable identies (x+3)(x^2-3x+9)​

Answer 1

(x+3)(x2-3x+9)

x(x2-3x+9)+3(x2-3x+9)

x3-3x2+9x+3x2-9x+27

x3+27 ans

hope it helps ......

Answer 2

Given,

An expression (x+3)(x²-3x+9)

To find,

Product of the given expression

Solution,

Let us assume the given expression in the form of (Ax + B)(Cx² + Dx + E)

Their multiplication can be performed as Ax(Cx² + Dx + E) +  B(Cx² + Dx + E).

Similarly, the product of the expression-

⇒ (x+3)(x²-3x+9)

⇒ x(x²-3x+9) +3(x²-3x+9)

⇒ x³ - 3x² + 9x + 3x² - 9x +27

⇒ x³ +27.

Hence, the product of x+3)(x²-3x+9) is  x³ +27.