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  • 1. Express the following as in the form of (a+b)(a-b)i) A2-64ii) 2-2xy + y2 – z2.2. Write all possible factors of -6ab and 15pq.3. Find the common factors of 12x and 36.4. Factorise 6xy-4y+6-9x.5. (a+b)2=____6. (a-b)2= _____7. Divide (5x2-6x) by 3x.8. F

1. Express the following as in the form of (a+b)(a-b)i) A2-64ii) 2-2xy + y2 – z2.2. Write all possible factors of -6ab and 15pq.3. Find the common factors of 12x and 36.4. Factorise 6xy-4y+6-9x.5. (a+b)2=____6. (a-b)2= _____7. Divide (5x2-6x) by 3x.8. Factorise:i) y(y+z)+9(y+z)ii) 10ab+4a+5b+2iii) 6xy-4y+6-9x?

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1);i);A^2-64\*Rightarrow A^2-8^2=(A+8)(A-8)\* ii);2-2xy-y^2-z^2\* Rightarrow (sqrt2)^2-(y+z)^2=(sqrt2-y-z)(sqrt2+y+z)\* 2);i);-6ab=22 imes 3 imes a imes b\* ii);15pq=3 imes 5 imes p imes q\* 3);Common ;factor;of;12;and;36\* 12=3 imes 4\* 36=3 imes 3 imes 4\* herefore common;factor;is;4\* 4);6xy-4y+6-9x\* Rightarrow 2y(3x-2)-3(3x-2)\*Rightarrow (2y-3)(3x-2) \* 5);(a+b)^2=a^2+b^2+2ab\* 6);(a-b)^2=a^2+b^2-2ab\* 7);(5x2-6x)div 3x\* Rightarrow frac53x-2\* 8);i);y(y+z)+9(y+z)\* Rightarrow (y+z)(y+9)\* ii);10ab+4a+5b+2\* Rightarrow 2a(5b+2)+1(5b+2)\* Rightarrow (2a+1)(5b+2)\* iii);6xy-4y+6-9x\* Rightarrow 2y(3x-2)-3(3x-2)\*Rightarrow (2y-3)(3x-2)

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Deependra Verma

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