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Class 9 Math Algebric Manipulation


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Mathcaret
Matrices and Determinants

672 Doubt Solutions

Real and Complex Numbers

1344 Doubt Solutions

Logarithms

2016 Doubt Solutions

Algebric Expressions and Algebric Formulas

2688 Doubt Solutions

Factorization

3360 Doubt Solutions

Algebric Manipulation

4032 Doubt Solutions

Linear Equations and Inequalities

4704 Doubt Solutions

Linear Graphs and their Applications

5376 Doubt Solutions

Introduction to Coordinate Geometry

6048 Doubt Solutions

Congruent Triangles

6720 Doubt Solutions

Parallelograms and Triangles

7392 Doubt Solutions

Line Bisectors and Angle Bisectors

8064 Doubt Solutions

Sides and Angles of Triangle

8736 Doubt Solutions

Ratio and Proportion

9408 Doubt Solutions

Pythagoras's Theorem

10080 Doubt Solutions

Theorems Related with Area

10752 Doubt Solutions

Practical Geometry _ Triangles

11424 Doubt Solutions

Physicscaret
Chemistrycaret
Example01FindtheHCFbydivisionmethodofthefollowingpolynomials:2x3+7x2+4x−4and2x3+9x2+11x+2.Example 01 Find the HCF by division method of the following polynomials: 2 x^{3}+7 x^{2}+4 x-4 and 2 x^{3}+9 x^{2}+11 x+2 .
6. For what value of k is (x+4) the H.C.F. of x^{2}+x-(2 k+2) and 2 x^{2}+k x-12 ?
6. For what value of k is (x+4) the H.C.F. of x^{2}+x-(2 k+2) and 2 x^{2}+k x-12 ?

6.Forwhatvalueofkis(x+4)theH.C.F.ofx2+x−(2k+2)and2x2+kx−12?6. For what value of k is (x+4) the H.C.F. of x^{2}+x-(2 k+2) and 2 x^{2}+k x-12 ?

2. Fill in the blanks.(iii) HCF of y^{2}-5 y and y+6 and y-2 is
2. Fill in the blanks.(iii) HCF of y^{2}-5 y and y+6 and y-2 is

2.Fillintheblanks.(iii)HCFofy2−5yandy+6andy−2is2. Fill in the blanks.(iii) HCF of y^{2}-5 y and y+6 and y-2 is

2. Find the square root of the following algebraic expressions by division method.(viii) x^{6}+\frac{1}{x^{6}}-4\left(x^{3}+\frac{1}{x^{3}}\right)+6 x \neq 0
2. Find the square root of the following algebraic expressions by division method.(viii) x^{6}+\frac{1}{x^{6}}-4\left(x^{3}+\frac{1}{x^{3}}\right)+6 x \neq 0

2.Findthesquarerootofthefollowingalgebraicexpressionsbydivisionmethod.(viii)x6+1x6−4(x3+1x3)+6x≠02. Find the square root of the following algebraic expressions by division method.(viii) x^{6}+\frac{1}{x^{6}}-4\left(x^{3}+\frac{1}{x^{3}}\right)+6 x \neq 0

Example 01 Simplify: \frac{x^{2}-x-6}{2 x^{2}-5 x-3}+\frac{1}{4 x^{2}-1}
Example 01 Simplify: \frac{x^{2}-x-6}{2 x^{2}-5 x-3}+\frac{1}{4 x^{2}-1}

Example01Simplify:x2−x−62x2−5x−3+14x2−1Example 01 Simplify: \frac{x^{2}-x-6}{2 x^{2}-5 x-3}+\frac{1}{4 x^{2}-1}

Simplify the following\[\text { (x) } 2\left(\frac{x^{2}+7 x+12}{x^{2}-16}+\frac{x^{2}+x-2}{x^{2}+4 x+4}\right) \times \frac{x^{2}-2 x-8}{2 x+8 x^{2}+4} .\]
Simplify the following\[\text { (x) } 2\left(\frac{x^{2}+7 x+12}{x^{2}-16}+\frac{x^{2}+x-2}{x^{2}+4 x+4}\right) \times \frac{x^{2}-2 x-8}{2 x+8 x^{2}+4} .\]

Simplify the following\[\text { (x) } 2\left(\frac{x^{2}+7 x+12}{x^{2}-16}+\frac{x^{2}+x-2}{x^{2}+4 x+4}\right) \times \frac{x^{2}-2 x-8}{2 x+8 x^{2}+4} .\]

9. Let p(x)=10\left(x^{2}-9\right)\left(x^{2}-3 x+2\right) and q(x)=10 x(x+3)(x-1)^{2} . If the H.C.F. of p(x) q(x) is 10(x+3)(x-1) find their L.C.M.
9. Let p(x)=10\left(x^{2}-9\right)\left(x^{2}-3 x+2\right) and q(x)=10 x(x+3)(x-1)^{2} . If the H.C.F. of p(x) q(x) is 10(x+3)(x-1) find their L.C.M.

9.Letp(x)=10(x2−9)(x2−3x+2)andq(x)=10x(x+3)(x−1)2.IftheH.C.F.ofp(x)q(x)is10(x+3)(x−1)findtheirL.C.M.9. Let p(x)=10\left(x^{2}-9\right)\left(x^{2}-3 x+2\right) and q(x)=10 x(x+3)(x-1)^{2} . If the H.C.F. of p(x) q(x) is 10(x+3)(x-1) find their L.C.M.

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