Question

factorise y^2/16 - 49​

Answer 1

Answer:

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 : 49 is the square of 7

Check : 16 is the square of 4

Check : y2 is the square of y1

Factorization is : (7y + 4) • (7y - 4)

Solving a Single Variable Equation:

Solve : 7y-4 = 0

Add 4 to both sides of the equation :

7y = 4

Divide both sides of the equation by 7:

y = 4/7 = 0.571