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Factorize Each of the Following Algebraic Expression: A2 + 2ab + B2 − C2 - Mathematics

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प्रश्न

Factorize each of the following algebraic expression:
a2 + 2ab + b2 − c2

योग

उत्तर

\[a^2 + 2ab + b^2 - c^2 \]

\[ = ( a^2 + 2ab + b^2 ) - c^2 \]

\[ = ( a^2 + 2 \times a \times b + b^2 ) - c^2 \]

\[ = (a + b )^2 - c^2 \]

\[ = [(a + b) - c][(a + b) + c]\]

\[ = (a + b - c)(a + b + c)\]

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अध्याय 7: Factorization - Exercise 7.6 [पृष्ठ २३]

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आरडी शर्मा Mathematics [English] Class 8
अध्याय 7 Factorization
Exercise 7.6 | Q 24 | पृष्ठ २३

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