Question

factorise the following:- 8-50a^2b^2​

Answer 1

(50 • (a2)) - 23b2

(2•52a2) - 23b2

Pull out like factors :

50a2 - 8b2 = 2 • (25a2 - 4b2)

Factoring: 25a2 - 4b2

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 25 is the square of 5

Check : 4 is the square of 2

Check : a2 is the square of a1

Check : b2 is the square of b1

Factorization is : (5a + 2b) • (5a - 2b)

Answer 2

Answer:

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