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  • What term should be added to each of the following expressions to make it a perfect square?1. 4a.sq +28a2.36a.sq+49b.sq3.4a.sq+814.9a.sq+2ab+b.sq?

What term should be added to each of the following expressions to make it a perfect square?1. 4a.sq +28a2.36a.sq+49b.sq3.4a.sq+814.9a.sq+2ab+b.sq?

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Using;formula: (a+b)^2=a^2+b^2+2ab\*(a-b)^2=a^2+b^2-2ab\* 1);4a^2+28a\* Rightarrow 4a^2=(2a)^2\* Rightarrow 28a=2(7)(2a)\*so,;49; must;be;added;to; make;it;perfect;square\*Rightarrow 4a^2+28a+49=(2a+7)^2\* 2);36a^2+49b^2\* Rightarrow 36a^2=(6a)^2\*Rightarrow 49b^2=(7b)^2\* So,;84ab;must ;be;added;to ;make;it;perfect;square\* Rightarrow 36a^2+49b^2+84ab=(6a+7b)^2\* 3);4a^2+81\* Rightarrow 4a^2 =(2a)^2\*Rightarrow 81=9^2\* So,;36a;must;be;added;to;make;it;perfect;square\* Rightarrow 4a^2+81+36a=(2a+9)^2\* 4);9a^2+2ab+b^2?\* Rightarrow 4ab;must;be;added;to;make;it;perfect;square\* Rightarrow 9a^2+6ab+b^2=(2a+b)^2

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Deependra Verma

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