Match the columns — task. Maths CBSE Homework Assignments, Class 9.

Answer variants:

(x + a) (x + b) = x^{2} + (a + b) x + ab

36 x^{2} + 36 xy + 9 y^{2}

{(a - b)}^{2} = a^{2} - 2 ab + b^{2}

36 a^{2} - 12 ab + b^{2}

{81 x}^{2} - 4

{(a + b)}^{2} = a^{2} + 2 ab + b^{2}

(a - b) (a + b) = a^{2} - b^{2}

x^{2} + 9 x + 14

Question No.	Expression	Identity Used	Expansion
1.	${(6 x + 3 y)}^{2}$	$(x + a) (x + b) = x^{2} + (a + b) x + ab$	${81 x}^{2} - 4$
2.	${(6 a - b)}^{2}$	$(a - b) (a + b) = a^{2} - b^{2}$	$x^{2} + 9 x + 14$
3.	$(9 x - 2) ((9 x + 2)$	${(a + b)}^{2} = a^{2} + 2 ab + b^{2}$	$36 a^{2} - 12 ab + b^{2}$
4.	$(x + 7) (x + 2)$	${(a - b)}^{2} = a^{2} - 2 ab + b^{2}$	$36 x^{2} + 36 xy + 9 y^{2}$

Answer:

Question No.	Expression	Identity Used	Expansion
1.	${(6 x + 3 y)}^{2}$
2.	${(6 a - b)}^{2}$
3.	$(9 x - 2) ((9 x + 2)$
4.	$(x + 7) (x + 2)$

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