Find and correct the errors in the statement: 4(x − 5) = 4x − 5
Answers
Given : 4(x − 5) = 4x − 5
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 ignore 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 the first term only. This is the 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 the 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 the 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:
LHS = 4(x - 5)
= 4x - 20
RHS = (4x - 5)
LHS ≠ RHS
Correct statement :
4(x - 5) = 4x - 20
Hope this answer will help you….
Some more questions related to this chapter :
Find and correct the errors in the statement: (2x)^2 + 5x = 4x + 5x = 9x
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Find and correct the errors in the statement: 3x^2 / 3x^2 = 0
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Step-by-step explanation:
= 4(x-5)
= 4x- 20
Error.... As there is a bracket and according to the maths rule, we need to multiply the 4 by both the no. or the variable inside .
As here, the 4 is only multiplied by X and not by 5, that's the error which I have corrected.