Question

factorise 16x^2-40xy+25y^2​

Answer 1

answer is (4x - 5y)²

Answer 2

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STEP 1:

1:Equation at the end of step 1

1:Equation at the end of step 1 ((16 • (x2)) - 40xy) + 52y2

1:Equation at the end of step 1 ((16 • (x2)) - 40xy) + 52y2 STEP 2:

Equation at the end of step

Equation at the end of step (24x2 - 40xy) + 52y2

Equation at the end of step (24x2 - 40xy) + 52y2STEP 3 :

Trying to factor a multi variable polynomial

Trying to factor a multi variable polynomial 3.1 Factoring 16x2 - 40xy + 25y2

Trying to factor a multi variable polynomial 3.1 Factoring 16x2 - 40xy + 25y2 Try to factor this multi-variable trinomial using trial and error

Trying to factor a multi variable polynomial 3.1 Factoring 16x2 - 40xy + 25y2 Try to factor this multi-variable trinomial using trial and error Found a factorization : (4x - 5y)•(4x - 5y)

Trying to factor a multi variable polynomial 3.1 Factoring 16x2 - 40xy + 25y2 Try to factor this multi-variable trinomial using trial and error Found a factorization : (4x - 5y)•(4x - 5y)Detecting a perfect square :

Trying to factor a multi variable polynomial 3.1 Factoring 16x2 - 40xy + 25y2 Try to factor this multi-variable trinomial using trial and error Found a factorization : (4x - 5y)•(4x - 5y)Detecting a perfect square : 3.2 16x2 -40xy +25y2 is a perfect square

Trying to factor a multi variable polynomial 3.1 Factoring 16x2 - 40xy + 25y2 Try to factor this multi-variable trinomial using trial and error Found a factorization : (4x - 5y)•(4x - 5y)Detecting a perfect square : 3.2 16x2 -40xy +25y2 is a perfect square It factors into (4x-5y)•(4x-5y)

Trying to factor a multi variable polynomial 3.1 Factoring 16x2 - 40xy + 25y2 Try to factor this multi-variable trinomial using trial and error Found a factorization : (4x - 5y)•(4x - 5y)Detecting a perfect square : 3.2 16x2 -40xy +25y2 is a perfect square It factors into (4x-5y)•(4x-5y)which is another way of writing (4x-5y)2

Trying to factor a multi variable polynomial 3.1 Factoring 16x2 - 40xy + 25y2 Try to factor this multi-variable trinomial using trial and error Found a factorization : (4x - 5y)•(4x - 5y)Detecting a perfect square : 3.2 16x2 -40xy +25y2 is a perfect square It factors into (4x-5y)•(4x-5y)which is another way of writing (4x-5y)2How to recognize a perfect square trinomial:

Trying to factor a multi variable polynomial 3.1 Factoring 16x2 - 40xy + 25y2 Try to factor this multi-variable trinomial using trial and error Found a factorization : (4x - 5y)•(4x - 5y)Detecting a perfect square : 3.2 16x2 -40xy +25y2 is a perfect square It factors into (4x-5y)•(4x-5y)which is another way of writing (4x-5y)2How to recognize a perfect square trinomial: • It has three terms

Trying to factor a multi variable polynomial 3.1 Factoring 16x2 - 40xy + 25y2 Try to factor this multi-variable trinomial using trial and error Found a factorization : (4x - 5y)•(4x - 5y)Detecting a perfect square : 3.2 16x2 -40xy +25y2 is a perfect square It factors into (4x-5y)•(4x-5y)which is another way of writing (4x-5y)2How to recognize a perfect square trinomial: • It has three terms • Two of its terms are perfect squares themselves

Trying to factor a multi variable polynomial 3.1 Factoring 16x2 - 40xy + 25y2 Try to factor this multi-variable trinomial using trial and error Found a factorization : (4x - 5y)•(4x - 5y)Detecting a perfect square : 3.2 16x2 -40xy +25y2 is a perfect square It factors into (4x-5y)•(4x-5y)which is another way of writing (4x-5y)2How to recognize a perfect square trinomial: • It has three terms • Two of its terms are perfect squares themselves • The remaining term is twice the product of the square roots of the other two terms

Trying to factor a multi variable polynomial 3.1 Factoring 16x2 - 40xy + 25y2 Try to factor this multi-variable trinomial using trial and error Found a factorization : (4x - 5y)•(4x - 5y)Detecting a perfect square : 3.2 16x2 -40xy +25y2 is a perfect square It factors into (4x-5y)•(4x-5y)which is another way of writing (4x-5y)2How to recognize a perfect square trinomial: • It has three terms • Two of its terms are perfect squares themselves • The remaining term is twice the product of the square roots of the other two termsFinal result :

Trying to factor a multi variable polynomial 3.1 Factoring 16x2 - 40xy + 25y2 Try to factor this multi-variable trinomial using trial and error Found a factorization : (4x - 5y)•(4x - 5y)Detecting a perfect square : 3.2 16x2 -40xy +25y2 is a perfect square It factors into (4x-5y)•(4x-5y)which is another way of writing (4x-5y)2How to recognize a perfect square trinomial: • It has three terms • Two of its terms are perfect squares themselves • The remaining term is twice the product of the square roots of the other two termsFinal result : (4x - 5y)2