Level 65 • 5/50 questions • 40 seconds per question.
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Which identity can simplify \( 15^2-5^2 \)?
D. (a-2-b-2=(a+b)(a-b))
यह \(a^2-b^2\) का रूप है। परीक्षा में वर्गों के अंतर को गुणनफल में बदलें। / This is the form \(a^2-b^2\). Exam tip: convert difference of squares into a product.
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In which form can \( a^2+2ab+b^2 \) be written?
C. ( (a+b)2 )
यह ( (a+b)2 ) का विस्तार है। परीक्षा में (+2ab) देखकर धन वर्ग पहचानें। / This is the expansion of ( (a+b)2 ). Exam tip: identify positive square from (+2ab).
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In which form will \( x^2-6x+9 \) be written?
D. ( (x-3)2 )
(x-2-6x+9=x-2-2\cdot x\cdot3+32=(x-3)2)। परीक्षा में अंतिम पद का वर्गमूल देखें। / (x-2-6x+9=x-2-2\cdot x\cdot3+32=(x-3)2). Exam tip: check the square root of the last term.
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How will you factorise \( 49-r^2 \)?
B. ( (7+r)(7-r) )
(49-r-2=72-r-2=(7+r)(7-r)) है। परीक्षा में बड़े वर्ग को पहले रखें। / (49-r-2=72-r-2=(7+r)(7-r)). Exam tip: keep the larger square first.
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What is the correct factorisation of \( 25x^2-16 \)?
C. ( (5x+4)(5x-4) )
(25x-2-16=(5x)2-42=(5x+4)(5x-4))। परीक्षा में दोनों वर्ग पहचानें। / (25x-2-16=(5x)2-42=(5x+4)(5x-4)). Exam tip: identify both squares.
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