# Grade 8 Identities Worksheet (For CBSE, ICSE, IAS, NET, NRA 2022)

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(c)

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(b)

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(a) Find , when

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(b)

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(b)

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(b)

## (11) Use the Identities to Answer These Questions

(a) If , find

(b) If , find the value of

## (12) Use the Identities to Answer These Questions

(a) If find the value of

## (13) Use the Identities to Answer These Questions

(a) If , find the value of

• Here given algebraic expression is,

• Hence
• Now,

• Here given algebraic expression is,

• Hence
• Now,

• Here given algebraic expression is,

• Hence
• Now,

• Here given algebraic expression is,

• Hence
• Now,

• Here given algebraic expression is,

• Hence
• Now,

• Given algebraic expression is;

• Now compare this algebraic expression with So we have,

• Hence from above ,

• Hence,

• So, algebraic expressions as a square of a binomial

• Given algebraic expression is;

• Now compare this algebraic expression with So we have,

• Hence from above ,

• Hence,

• So, algebraic expressions as a square of a binomial

• To answer this with the use identities we first consider
• Answer of above will multiply with remaining expression for further solution
• Hence , first part

• Now compare our algebraic expression with identities
• Hence,

• From above,
• Hence,

• Now, second part

• Now compare our algebraic expression with identities
• Hence,
• From above
• Hence,

• Hence,

• Now we know the identities that,

• Hence

• Put the value of in above equation

• Given values are,

• Now we know the identities that,

• Hence,

• Put the value in above equation,

• Given problem,
• We know the identities that,

• Compare our equation with identities expression than,

• Hence
• Put the value of a and b in expression,

• Hence

• Given problem,
• We know the identities that,

• Compare our equation with identities expression than,

• Hence
• Put the value of a and b in expression,

• Hence,

• We know the identities that

• Compare our equation with identities expression than,

• Put the values of a and b in expression than,

• We know the identities that

• Compare our equation with identities expression than,

• Put the values of a and b in expression than,

• Given algebraic expression,

• We know the identities that ,

• Now compare our polynomial with identities than,

• Now,

• Given algebraic expression,

• We know the identities that ,

• Now compare our polynomial with identities than,

• Now,

• We know the identities expression that,

• Hence,

• Now put the value of in above equation,

• We know the identities expression that,

• Hence,

• Now put the value of in above equation,

• We know the identities expression that,

• Hence

• Now put the value of and In above equation,

• We know the identities that,

• Hence

• Now put the value of in above equation than,

• Now we know the identities expression that,

• We put

• Put the value of and

• We know the identities that,

• Now put the value of

• Now put the value of in above equation than,

• Now we know the identities expression that,

• we put

• Put the value of

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