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Without actual multiplication, find the values of:

14. [tex]\((52)^2 + 52 \times 3 =\)[/tex]

15. [tex]\((97)^2 =\)[/tex]

16. [tex]\(235 =\)[/tex]

Sagot :

GinnyAnsweridn
Certainly! Let's go through each of the calculations step by step.

### Problem 14: Calculate [tex]\( 52^2 \)[/tex] and [tex]\( 52 \times 3 \)[/tex]

1. Step-by-Step Solution for [tex]\( 52^2 \)[/tex]:
- To find [tex]\( 52^2 \)[/tex], we multiply 52 by itself.
- Result: [tex]\( 52 \times 52 = 2704 \)[/tex]

2. Step-by-Step Solution for [tex]\( 52 \times 3 \)[/tex]:
- To find [tex]\( 52 \times 3 \)[/tex], we multiply 52 by 3.
- Result: [tex]\( 52 \times 3 = 156 \)[/tex]

So, for Problem 14, we have:
- [tex]\( 52^2 = 2704 \)[/tex]
- [tex]\( 52 \times 3 = 156 \)[/tex]

### Problem 15: Calculate [tex]\( 97^2 \)[/tex]

1. Step-by-Step Solution for [tex]\( 97^2 \)[/tex]:
- To find [tex]\( 97^2 \)[/tex], we multiply 97 by itself.
- Result: [tex]\( 97 \times 97 = 9409 \)[/tex]

So, for Problem 15, we have:
- [tex]\( 97^2 = 9409 \)[/tex]

### Problem 16: Given 235

1. Step-by-Step Solution for 235:
- No calculation is needed as the number is simply given directly.
- Result: [tex]\( 235 \)[/tex]

So, for Problem 16, we have:
- The given number is [tex]\( 235 \)[/tex]

### Summary of Results:
- Problem 14:
- [tex]\( 52^2 = 2704 \)[/tex]
- [tex]\( 52 \times 3 = 156 \)[/tex]
- Problem 15:
- [tex]\( 97^2 = 9409 \)[/tex]
- Problem 16:
- The given number is [tex]\( 235 \)[/tex]

I hope this helps clarify the solutions for each problem!
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