What is $2\times ( 14\div 2)^{2} + 5\times 12$ ?

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Answer 1 · 2016-09-20T21:32:39

$158$

Count the number of terms first.
Each term must simplify to a single answer and these will be added or subtracted in the last step.

Within each term, the order of operations applies:
Inside brackets first
Powers and roots
Multiply and divide.

$[2\times ( color(blue)(14\div 2))^{2}] + [color(red)(5xx 12)]" "larr$ there are 2 terms

Simplify within each term

= $[2\times ( color(blue)(7^2))] + [color(red)(60)]$

= $[2\times color(blue)49] + [color(red)(60)]$

= $color(blue)98 + color(red)(60)$

= $158$

What is 2\times ( 14\div 2)^{2} + 5\times 122\times ( 14\div 2)^{2} + 5\times 12?