How do you simplify #4times3^2+3times4^2+2(3times4)^2#?

Answer 1

372

PEMDAS

Parentheses Exponents Multiplication Division Addition Subtraction

#4*3^2+3*4^2+2(3*4)^2# #4*3^2+3*4^2+2*12^2# #4*9+3*16+2*144# #36+48+288# #376#
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Answer 2

#4xx3^2+3xx4^2+2(3xx4)^2=372#

The order of operations is given by PEMDAS, which means parentheses, exponents, multiplication and division and addition and subtraction in that order.

Hence, #4xx3^2+3xx4^2+2(3xx4)^2#
= #4xx3^2+3xx4^2+2xx12^2#
= #4xx9+3xx16+2xx144#
= #36+48+288#
= #372#
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Answer 3

#372#

Blindly following PEDMAS/BODMAS/PEMDAS or any other version, without understanding what it actually means, will often lead to incorrect answers.

Strongest operations (powers and roots) are done first, then multiplication and division, and lastly the weakest operations of addition and subtraction.

However, sometimes a weaker operation must be done first and in this case parentheses are used.

Count the number of terms first. You can perform operations in any term independent of other terms. Each term must simplify to a single value. The final values are added and subtracted in the LAST step.

#color(red)(4xx3^2)color(blue)(+3xx4^2)color(green)(+2(3xx4)^2)" has 3 terms"#
=#color(red)(4xx9)color(blue)(+3xx16)color(green)(+2(12)^2)#
=#color(red)(36)color(blue)(+48)color(green)(+2(144)#
=#color(red)(36)color(blue)(+48)color(green)(+288)#
=#372#
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Answer 4

To simplify the expression (4 \times 3^2 + 3 \times 4^2 + 2(3 \times 4)^2), follow these steps:

  1. Evaluate the exponents within parentheses first.
  2. Perform multiplication and exponentiation according to the order of operations (PEMDAS/BODMAS).

By following these steps, you can simplify the given expression.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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