Question

What is the simplified form of the expression? HELP ASAP

Answer 1

Answer:

$360$

Step-by-step explanation:

$\frac{5(14 - 2)^{2} }{2} = \frac{5 {(12)}^{2} }{2} = \frac{5(144)}{2} \\ \\ \frac{720}{2} = 360$

Answer 2

Answer:

The answer is option (d) 360.

Step-by-step explanation:

Solution :

$\implies{\tt{\dfrac{5(14 - 2)^{2} }{2}}}$

$\implies{\tt{\dfrac{5(12)^{2} }{2}}}$

$\implies{\tt{\dfrac{5(12 \times 12) }{2}}}$

$\implies{\tt{\dfrac{5(144) }{2}}}$

$\implies{\tt{\dfrac{5 \times 144 }{2}}}$

$\implies{\tt{\dfrac{5 \times \cancel{144}}{ \cancel{2}}}}$

$\implies{\tt{5 \times 72}}$

$\implies{\tt{360}}$

$\dag{\underline{\boxed{\sf{\red{360}}}}}$

Hence, the answer is 360.

$\rule{300}{1.5}$

Learn More :

✧ BODMAS :

↝ BODMAS rule is an acronym used to remember the order of operations to be followed while solving expressions in mathematics.

It stands for :-

⠀ ⇝ B - Brackets,

⠀ ⇝ O - Order of powers or roots,

⠀ ⇝ D - Division,

⠀ ⇝ M - Multiplication 

⠀ ⇝ A - Addition

⠀ ⇝ S - Subtraction.

↝ It means that expressions having multiple operators need to be simplified from left to right in this order only.

✧ BODMAS RULE :

↝ First, we solve brackets, then powers or roots,then division or multiplication (whatever comes first from the left side of the expression), and then at last subtraction or addition.

⠀ ↠ Addition (+)

⠀ ↠ Subtraction (-)

⠀ ↠ Multiplication (×)

⠀ ↠ Division (÷)

⠀ ↠ Brackets ( )

$\rule{300}{1.5}$