Question

Factorize

4h^2+20hk+25k^2

Answer 1

Step-by-step explanation:4h2+20hk+25k2

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(2h+5k)(2h+5k)=0

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Answer 2

Answer :

›»› The factorization of 4h² + 20hk + 25k² is (2h + 5k)².

Given :

• 4h² + 20hk + 25k²

To Find :

• Factorize the expression.

Solution :

→ 4h² + 20hk + 25k²

Present as the shape of the power,

→ 2²h² + 20hk + 25k²

Binding the power,

→ (2h)² + 20hk + 25k²

Present as the shape of the power,

→ (2h)² + 20hk + 5²k²

Binding the power,

→ (2h)² + 20hk + (5k)²

Change the term in the middle,

→ (2h)² + 2(2h)(5k) + (5k)²

Organize the expression by using A² ± 2AB + B² = (A ± B)²,

→ (2h + 5k)²

║Hence, the factorization of 4h² + 20hk + 25k² is (2h + 5k)².║