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Class 8 Maths Solutions
Factorization
Ex.14.4
Exercise 14.4 Factorization- NCERT Solutions Class 8
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Factorisation
Introduction to GraphsRational NumbersLinear Equations in One VariableUnderstanding QuadrilateralsPractical GeometryData HandlingSquares and Square RootsCubes and Cube RootsComparing QuantitiesAlgebraic Expressions and IdentitiesVisualising Solid ShapesMensurationExponents and PowersDirect and Inverse ProportionsFactorisationPlaying with Numbers
Exercise 14.4
Question 1
Find and correct the errors in the statement:
\[4(x - 5) = 4x - 5\]
Solution
What is known?
Incorrect mathematical statement.
What is unknown?
Correct mathematical statement.
Reasoning:
Solve L.H.S.
Steps:
\[{\rm{S}} = 4(x - 5) \ne \rm R.H.S.\]
The correct statement is \(4(x - 5) = 4x - 20\)
Question 2
Find and correct the errors in the statement:
\[x(3x + 2) = 3{x^2} + 2\]
Solution
What is known?
Incorrect mathematical statement.
What is unknown?
Correct mathematical statement.
Reasoning:
Solve L.H.S.
Steps:
\[\begin{align} {\rm{L.H.S}} &= x(3x + 2)\\&= 3{x^2} + 2x\\ {\rm{L.H.S}} &\ne {\rm{R.H.S}} \end{align}\]
The correct statement is \(x(3x + 2) = 3{x^2} + 2x\)
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