Question

Factorise t^2-6tw+9w^2

Answer 1

Answer:

The factorised form of the above quadratic polynomial is

(t - 3w)(t - 3w)

Step-by-step explanation:

${t}^{2} - 6tw + 9 {w}^{2} \\ = {t}^{2} - 2 \times t \times 3t + ( {3w)}^{2} \\ = ({t - 3w)}^{2} \\ = (t - 3w)(t - 3w)$

Answer 2

The factors of the expression $t^{2}-6tw+9w^{2}$ are $(t-3w)^{2}$.

Step-by-step explanation:

The expression is:

$t^{2}-6tw+9w^{2}$

Factorize the expression by splitting the middle term as follows:

$t^{2}-6tw+9w^{2}=t^{2}-3tw-3tw+9w^{2}$

                        $=t(t-3w)-3w(t-3w)\\=(t-3w)(t-3w)\\=(t-3w)^{2}$

Thus, the factors of the expression $t^{2}-6tw+9w^{2}$ are $(t-3w)^{2}$.