Question
Download Solution PDFSimplify \(\rm {256x^4 - 16y^4} \over {(80x^2 - 20y^2)}{(16x^2 + 4y^2)}\).
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFShortcut Trick
Formula used :
[(a + b)(a -b) = a2 - b2]
Calculation:
\(\rm {256x^4 - 16y^4} \over {(80x^2 - 20y^2)}{(16x^2 + 4y^2)}\)
\(\rm {256x^4 - 16y^4} \over {5(16x^2 - 4y^2)}{(16x^2 + 4y^2)}\)
⇒ (256x4 - 16y4)/5 × (256x4 - 16y4)
⇒ 1/5
∴ The correct answer is 1/5.
Alternate Method
Calculation:
\(\rm {256x^4 - 16y^4} \over {(80x^2 - 20y^2)}{(16x^2 + 4y^2)}\)
⇒ (256x4 - 16y4)/(1280x4 + 320x2y2 - 320x2y2 - 80y4)
⇒ (256x4 - 16y4)/(1280x4 - 80y4)
⇒ (256x4 - 16y4)/5 × (256x4 - 16y4)
⇒ 1/5
∴ The correct answer is 1/5.
Last updated on Jul 12, 2025
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