Question

Find the product of (k – 9)2 using the perfect square trinomial rule shown on the left. The product (k – 9)2 can also be written as . The product is k2 – k + .

Answer 1

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

$(k-9)^2=k^2-2\cdot k\cdot9+9^2=k^2-18k+81$

Answer 2

The solution of the given equation is k² - 18k +81.

What is a quadratic equation?

The polynomial having a degree of two or the maximum power of the variable in a polynomial will be 2 is defined as the quadratic equation and it will cut two intercepts on the graph at the x-axis.

We have to find the solution for the given expression (k – 9)².

By using the algebraic identity we will calculate the solution of the given equation as follows:-

(  a  -  b  ) ²  =  a²  -  2ab  +  b²

(  k – 9  )²   =  k²  - ( 2 x k  x 9 )  +  9²

(  k – 9  )²   =    k²  -  18k  +  81

Therefore the solution of the given equation is k² - 18k +81.

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