Question

8wsquared28w" alt="8w {2 }^{2} - 18w" align="absmiddle" class="latex-formula">
-18w

Answer 1

${\text{Here, we have the algebraic expression}} \hfill \\ 8w \times {2^2} - 18w \hfill \\ {\text{For simplifying the expression, first we solve the exponent part,}} \hfill \\ {\text{and then the resultant will be multiply with the monomial }}18w \hfill \\ 8w \times {2^2} - 18w \hfill \\ = 8 \times w \times {2^2} - 18w \hfill \\= \left( {8 \times {2^2}} \right) \times w - 18w\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\left[ {\because \,{\text{By associative law }}a \times \left( {b \times c} \right) = \left( {a \times b} \right) \times c} \right] \hfill \\ = \left( {8 \times 4} \right) \times w - 18w \hfill \\ = 32 \times w - 18w \hfill \\= 32w - 18w \hfill \\= 14w \hfill$