Mathematics: Evaluate this exponential expression. 4. (2 + 5)2 - 52 =

Evaluate this exponential expression. 4. (2 + 5)2

Ответ:

rleiphart1

01.02.2022

C. 171

Step-by-step explanation:

$4\cdot (2+5)^2-5^2\\\\Follow\:the\:PEMDAS\:order\:of\:operations\\\\\mathrm{Calculate\:within\:parentheses}\:\left(2+5\right)\::\quad 7\\=4\cdot \:7^2-5^2\\\\\mathrm{Calculate\:exponents}\:7^2\::\quad 49\\=4\cdot \:49-5^2\\\\\mathrm{Calculate\:exponents}\:5^2\::\quad 25\\=4\cdot \:49-25\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:4\cdot \:49\::\quad 196\\=196-25\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:196-25\:\\:\quad 171\\$