quadratic_two_variables se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.
4 questions tagged with quadratic_two_variables.
If (x=1) and (y=-3), what is the value of \(2x^2-xy+y^2\)?
C. (14)
(2(1)2-(1)(-3)+(-3)2=2+3+9=14)। ऋणात्मक गुणन और वर्ग पर ध्यान दें। / (2(1)2-(1)(-3)+(-3)2=2+3+9=14). Watch negative multiplication and squares carefully.
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What is the simplified form of \(5x^2-6xy+3y^2-2x^2+11xy-8y^2\)?
A. \(3x^2+5xy-5y^2\)
\(x^2\), (xy), और \(y^2\) पदों को अलग जोड़ने पर \(3x^2+5xy-5y^2\) मिलता है। अलग चर भागों को न मिलाएं। / Combining \(x^2\), (xy), and \(y^2\) terms separately gives \(3x^2+5xy-5y^2\). Do not mix different variable parts.
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What is the simplified form of \(6x^2-4xy+2y^2-3x^2+9xy-y^2\)?
A. \(3x^2+5xy+y^2\)
\(x^2\), (xy), और \(y^2\) पदों को अलग जोड़ने पर \(3x^2+5xy+y^2\) मिलता है। अलग चर भागों को न मिलाएं। / Combining \(x^2\), (xy), and \(y^2\) terms separately gives \(3x^2+5xy+y^2\). Do not mix different variable parts.
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Which option gives the correct simplified form of \(2a^2-3ab+4b^2-a^2+5ab-b^2\)?
A. \(a^2+2ab+3b^2\)
\(2a^2-a^2=a^2\), (-3ab+5ab=2ab), और \(4b^2-b^2=3b^2\)। समान चर भागों को ही जोड़ें। / \(2a^2-a^2=a^2\), (-3ab+5ab=2ab), and \(4b^2-b^2=3b^2\). Combine only matching variable parts.
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