Question

if a:b = 4:5 find 5a+b 5a -b.

Answer 1

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Answer 2

a:b=4:5
a=4x
b=5x

We have equation:-
(5a+b)(5a-b)

We have identity,(a+b)(a-b)=
${a}^{2} - {b}^{2}$
Putting values in equation:-
(5a+b)(5a-b)
${5a}^{2} - {b}^{2}$
$5( {4x)}^{2} - {5x}^{2}$
$5 \times 16 {x}^{2} - 25 {x}^{2}$
$80 {x}^{2} - 25 {x}^{2}$
$55 {x}^{2}$
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