Question

16p^4 - 40p^2q^2 + 25q^4 Question Factorize. Do fast please whoever does first gets brainliest​

Answer 1

Answer:

(4p²-5q²)²

Step-by-step explanation:

Apply the Identity - (a-b)² = a²+b²-2ab

Here, a= 4p² and b= 5q²

(4p²)² + (5q²)²- (2*4p² *5q²)

= 16p⁴+25q⁴-40p²q²

Answer = (4p²-5q²)²

Answer 2

Answer:

$(4p^{2}-5q^{2})^{2}$

Step-by-step explanation:

$16p^{4}-40p^{2} q^{2} +25q^{4}$

This equation is in the form of:

$a^{2} -2ab+b^{2}=(a-b)^{2}$

Here:

$a^{2} =16p^{4} ; b^{2} =25q^{4}$

$a=4p^{2} ; b=5q^{2}$

Therefore now we can write it in the form of (a-b)^2

After substituting we get:

$(4p^{2}-5q^{2})^{2}$

This is what your answer..

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