Question

16x²-100 facterize ​

Answer 1

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

Answer 2

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).