sammi9506 sammi9506
  • 16-04-2019
  • Mathematics
contestada

What is the fully factored form of the expression 16x^2 - 49y^2

Respuesta :

irocktheworld11
irocktheworld11 irocktheworld11
  • 16-04-2019

Answer:

(4x + 7y)(4x - 7y)

Step-by-step explanation:

Rewrite 16 as 4^2

= 4^2x^2 - 49y^2

Rewrite 49 as 7^2

= 4^2x^2 - 7^2y^2

Apply the Exponent Rule Pt 1  ((a^m*b^m =(ab)^m))

= (4x)^2 - 7^2y^2

Apply the Exponent Rule Pt 2

= (4x)^2 - (7y)^2

Apply Difference of Squares Formula (( x^2-y^2 = (x + y)(x - y)

= (4x + 7y) (4x - 7y)

Answer Link

Otras preguntas

In phylogenetic inference, an evolutionary novelty (or derived character) is referred to as _____.
I need help with number 4 please.
Andy has been feeling depressed for the last three months. He cannot find an obvious reason for it. What should he do? A. He should accept that he may be a sad
The development of the carolina colony was notable in that
Spanish salir conjugation
Which equation is identity? A.) 11-(2v+3)=-2v-8B.) 5w+8-=6w-2 (w-4)C.) 7m-2=8m+4-mD.) 8y+9=8y-3
While participating in a 12 week weight-loss and exercise program, Mr Wilson lost 36 pounds. His daughter Ginny told her friends that her father’s rate of weigh
_____ harnesses the sociological perspective for the benefit of the public. basic sociology experimental sociology classical sociology public sociol
When will the earth end
Write an equation for the line, given that M=5/6 and why intercept is (0,12)