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

Answer variants:

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

16 x^{2} + 40 xy + 25 y^{2}

{64 x}^{2} - {36 y}^{2}

x^{2} + 9 x + 14

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

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

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

16 x^{2} - 40 x + 25

Question No.	Expression	Identity Used	Expansion
1.	${(4 x + 5 y)}^{2}$	$(x + a) (x + b) = x^{2} + (a + b) x + ab$	${64 x}^{2} - {36 y}^{2}$
2.	${(4 x - 5)}^{2}$	$(a - b) (a + b) = a^{2} - b^{2}$	$x^{2} + 9 x + 14$
3.	$(8 x - 6 y) (8 x + 6 y)$	${(a + b)}^{2} = a^{2} + 2 ab + b^{2}$	$16 x^{2} - 40 x + 25$
4.	$(x + 7) (x + 2)$	${(a - b)}^{2} = a^{2} - 2 ab + b^{2}$	$16 x^{2} + 40 xy + 25 y^{2}$

Answer:

Question No.	Expression	Identity Used	Expansion
1.	${(4 x + 5 y)}^{2}$
2.	${(4 x - 5)}^{2}$
3.	$(8 x - 6 y) (8 x + 6 y)$
4.	$(x + 7) (x + 2)$

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