How do you evaluate #(- 4) ^ { 3} + ( - 12+ 7) ^ { 2} + 164#?

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Answer 1 · 2017-09-16T16:59:59

#color(red)(125) #

Evaluate each bracket in turn starting with the first:

#( - 3 )^3 => -4 * -4 * -4 =color(blue)( -64)#

Second bracket:

#( - 12 + 7 )^2 => ( -12 + 7 ) xx ( -12 + 7 ) ->#

#( -12 + 7 ) xx ( -12 + 7 ) =>[ -12 xx -12] + [-12 xx 7] + [7 xx -12] +[ 7 xx 7]#

Carry out multiplication first:

# 144 - 84 -84 + 49#

Add and subtract:

# 144 - 84 -84 + 49 = color(blue)(25)#

This then gives:

#color(blue)( -64) + color(blue)(25) + 164 = color(red)(125) #