What is $25- ( 2+ ( 4- 2)^{2} ) + 10$ ?

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Answer 1 · 2016-09-11T10:40:54

$29$

Always count the number of terms first. EAch term will give a final answer and these are added or subtracted (left to right) in the final step.

The expression has 3 terms, but there are 2 separate terms inside the bracket.

$25-(2+color(red)((4-2))^2)+10$

= $25 - (2+color(blue)((2)^2))+10$

= $25 -color(lime)((2+4))+10$

= $color(magenta)(25)-6color(magenta)(+10)" "larr$ 3 terms: calculate from left to right

OR

= $color(magenta)(25+10)-6" "larr$ re-arrange with + at the front

= $29$

What is 25- ( 2+ ( 4- 2)^{2} ) + 1025- ( 2+ ( 4- 2)^{2} ) + 10?