16x²-100 facterize
Answers
Answered by
0
Answer:
4(2x+5)(2x-5)
Step-by-step explanation:
16x2-100=(4x)^2-10^2
a^2-b^2=(a+b)(a-b)
4x =a, b=10
(4x+10)(4x-10)
2×(2×+5)×2×(2x-5)
4×(2x+5)(2x-5)
hope this helps
Answered by
4
Answer :
›»› The factorization of 16x² - 100 is 4(2x - 5) (2x + 5).
Given :
- 16x² - 100
To Find :
- Factorize the expression.
Solution :
→ 16x² - 100
Transform the expression,
→ (4x)² - 10²
By using the factoring formula, a² - b² = (a + b)(a - b),
→ (4x + 10) (4x - 10)
Bind the expression with the common factor 2,
→ 2(2x + 5) (4x - 10)
Bind the expression with the common factor 2,
→ 2(2x + 5) * 2(2x - 5)
Arrange the coefficients,
→ (2 * 2) (2x + 5) (2x - 5)
Calculate the expression,
→ 4(2x + 5) (2x - 5)
Sort the factor,
→ 4(2x - 5) (2x + 5)
Hence, the factorization of 16x² - 100 is 4(2x - 5) (2x + 5).
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