Find and correct the errors in the statement: (a − 4) (a − 2) = a^2 − 8
Answers
(a-4)(a-2)
=a^2-4a-2a+8
=a^2-6a+8
Given :
(a − 4) (a − 2) = a^2 − 8
Concept :
Common errors we done by solving algebraical expression and equation:
Error 1
Coefficient 1 of a term is usually not written. So we often ignores that. But while adding like terms, we should include it in the sum.
Error 2
When we multiply the expression enclosed in a bracket by a constant (or a variable) outside, we usually applied the multiplication to first term only. This is wrong calculation. Each term of the expression has to be multiplied by the constant (or the variable).
Error 3
when we square a monomial, we usually ignored the numerical coefficient. This is wrong method. The numerical coefficient and each factor has to be squared.
Error 4
when we square a binomial, we usually do not apply the proper identity. This is wrong approach. The right identity should be used.
Error 5
While dividing a polynomial by a monomial, We usually don’t divide each term of the polynomial in the numerator by the monomial in the denominator.
Solution:
(a − 4) (a − 2) = a² − 8
LHS = (a - 4) (a - 2)
= a² - 2a - 4a + 8
= a² - 6a + 8
RHS = a² - 8
LHS≠ RHS
Correct statement
(a - 4) (a - 2) = a² - 6a + 8
Hope this answer will help you….
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