Express 4x^2-25 as a product of two binomials.

Mathematics

2 answers:

Ede4ka [16]3 years ago

8 0

$4x^2-25=(2x)^2-5^2=(2x-5)(2x+5)$

Andrei [34K]3 years ago

5 0

4x^2-25= (2x)^2-5^2=(2x-5)(2x+5)

Used: a^2-b^2=(a+b)(a-b)

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Tim,Griff and Kay baked chocolate for Kay s birthday party.Tim baked 3 times as many as Kay.Griff baked half as many as Tim.Alto

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Answer: 48

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Define the number of cakes they baked in term of x
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Let the number of cakes Kay baked be x

Kay = x
Tim = 3x   ← Tim baked 3 times as many as Kay
Griff = 1.5x   ← Griff baked 1/2 as many as Tim

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Construct the equation and solve for x
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The total number of cakes baked was 88.

x + 3x + 1.5x = 88   ← Combine like terms
5.5 x = 88 ← Divide by 5.5
÷5.5   ÷5.5
x = 16

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Find the number of cakes each baked
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Kay = x = 16
TIm = 3x = 16 x 3 = 48
Griff = 1.5x = 1.5(16) = 24

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Answer: Tim baked 48 cakes.
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